Anita Tomar | Pure Mathematics | Excellence in Research

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Prof. Anita Tomar | Pure Mathematics | Excellence in Research

Professor and Head at Pt. L. M. S. Campus, Sri Dev Suman Uttarakhand University, Rishikesh, India

Professor Anita Tomar is a distinguished academic with over 25 years of experience in mathematics. Currently serving as the Head of the Department of Mathematics at Sri Dev Suman Uttarakhand University, she specializes in Fixed Point Theory, Fractals, and Nonlinear Functional Analysis. With a Ph.D. in Mathematics and more than 95 publications, including 10 book chapters and one edited book, she has made significant contributions to the field. She has earned numerous accolades, including the “Excellence in Research Award 2023” and the “Chief Minister Excellence and Good Governance Award 2020-21.” 🌟📚 Prof. Tomar has collaborated internationally with experts from various countries and played a key role in developing syllabi under NEP 2020 for multiple institutions. 🌍 Her research includes groundbreaking work on fixed points, fractals, and their applications in science and technology. 🧮🔬 As a renowned educator and researcher, she continues to inspire the academic community.

Professional Profile 

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Education 📖🎓

Professor Anita Tomar’s educational journey is a testament to her dedication to mathematics. She holds a Ph.D. in Mathematics, having earned it through years of rigorous research and exploration of specialized mathematical fields. Her academic foundation also includes a Master’s in Mathematics, which she completed with distinction. 📖🎓 Her deep understanding of mathematical concepts is reflected in her research and teaching, where she has inspired numerous students to pursue advanced studies in the field. Her education has paved the way for a successful career, allowing her to contribute significantly to the advancement of mathematical knowledge. 🌟

Professional Experience 👩‍🏫✨

With over 25 years of teaching experience, Professor Anita Tomar is a highly respected academic leader. 🌱 She has served as the Head of the Department of Mathematics at Sri Dev Suman Uttarakhand University, where she has shaped the curriculum and mentored students. 🏫 Her professional journey also includes teaching at prestigious institutions and guiding students at all levels, from undergraduate to Ph.D. Her expertise spans both theoretical and applied mathematics, and she has contributed to the development of new academic programs under India’s NEP 2020. Her leadership continues to influence the future of mathematics education. 👩‍🏫✨

Research Interests 🧮

Professor Anita Tomar’s research is centered on Fixed Point Theory, Nonlinear Functional Analysis, and Fractals. 🧮 Her work on the applications of these mathematical concepts to real-world problems, such as drug diffusion and tumor micro-environments, has established her as a leader in interdisciplinary mathematical research. 🔬 Her extensive publication record, which includes 95 papers and 10 book chapters, showcases the breadth and depth of her contributions. 🌍📚 She is passionate about advancing mathematical theories and exploring their applications in areas like physics, biology, and engineering. Her innovative research continues to push the boundaries of mathematical science. 🌟

Awards and Honors 🏆

Throughout her career, Professor Anita Tomar has received numerous prestigious awards and honors that recognize her exceptional contributions to mathematics. 🏆 These accolades include the “Excellence in Research Award 2023” and the “Chief Minister Excellence and Good Governance Award 2020-21,” underscoring her impact in both academic and societal contexts. 🌟 Her accolades reflect her ongoing commitment to advancing mathematical research and education. As a respected figure in her field, she continues to inspire and lead through both her scholarly work and her mentoring of the next generation of mathematicians. 🌟📜

Conclusion🌍📚

Professor Anita Tomar’s career is a shining example of excellence in mathematics. With a rich educational background, decades of professional experience, and a strong research record, she has made invaluable contributions to the mathematical community. 🌍📚 Her dedication to education, research, and interdisciplinary applications of mathematics has earned her widespread recognition. Through her awards, leadership roles, and collaborative work with international researchers, Professor Tomar continues to inspire both her peers and students. 🌟 As a researcher and educator, her passion for mathematics is unmatched, and she remains an influential figure in her field. 🌟

Publications Top Notes

🌀 Fractal Generation via Generalized Fibonacci–Mann Iteration with S-Convexity
Authors: S. Antal, N. Özgür, A. Tomar, K. Gdawiec
Year: 2024
Citation: Indian Journal of Pure and Applied Mathematics, 1-15
Source: Indian Journal of Pure and Applied Mathematics 🧮🔢

📊 Best Proximant for Set-Valued Maps via Proximal Relations
Authors: S. Petwal, A. Tomar, M. Joshi
Year: 2023
Citation: International Journal of Nonlinear Analysis and Applications, 14(1), 1237-1247
Source: International Journal of Nonlinear Analysis and Applications 📊📈

✍️ On Solutions to Open Problems and Volterra-Hammerstein Non-linear Integral Equation
Authors: S. Beloul, A. Tomar, M. Joshi
Year: 2022
Citation: Applied Mathematics E-Notes, 22, 692-711
Source: Applied Mathematics E-Notes ✍️📚

🔄 Fixed Point on Complete M-Metric Spaces via F(ψ, φ)- Contraction Mappings and Application to Periodic Differential Equation
Authors: S. Petwal, A. Tomar, M. Joshi
Year: 2021
Citation: Azerbaijan J. Math., 11(2 special issue), 29-48
Source: Azerbaijan Journal of Mathematics 🔄🌀

📐 Results in Strongly Minihedral Cone and Scalar Weighted Cone Metric Spaces and Applications
Authors: A. Tomar, M. Joshi
Year: 2021
Citation: Annales Mathematicae Silesianae, DOI: 10.2478/amsil-2021-0009
Source: Annales Mathematicae Silesianae 📐🔺

🧩 Existence of Coincidence and Common Fixed Points for Weakly Compatible Mappings in Symmetric Spaces
Authors: S. Manro, A. Tomar, S. M. Kang
Year: 2015
Citation: Bangmod Int. J. Math. & Comp. Sci., 1(01), 19-31
Source: Bangmod International Journal of Mathematics & Computer Science 🧩💡

💻 A Common Fixed Point Theorem in Non-Archimedean Menger PM-Space
Authors: S. Chauhan, B.D. Pant, S. Kumar, A. Tomar
Year: 2013
Citation: Analele Universitatii Oradea Fasc. Matematica, 20(02), 75-84
Source: Analele Universitatii Oradea 📚💻

✨ Positive Solutions of Discrete Fractional Sturm–Liouville Problems
Authors: J.M. Jonnalagadda, A. Tomar
Year: 2025
Citation: Journal of Mathematical Sciences, 1-14
Source: Journal of Mathematical Sciences 🧮✨

🔬 Non-Contractive Mappings and Application to a Drug Diffusion Problem
Authors: R.P. Pant, A. Tomar, M. Joshi
Year: 2025
Citation: Applied General Topology, 26(1), 221-240
Source: Applied General Topology 🔬💊

🌌 On the Evolution and Importance of the Fibonacci Sequence in Visualization of Fractals
Authors: S. Sharma, A. Tomar, S.K. Padaliya
Year: 2025
Citation: Chaos, Solitons & Fractals, 191, 115851
Source: Chaos, Solitons & Fractals 🔢🌌

🌊 An Effective Iterative Process Utilizing Transcendental Sine Functions for the Generation of Julia and Mandelbrot Sets
Authors: K.H. Alam, Y. Rohen, A. Tomar, N. Saleem, M. Aphane, A. Razzaque
Year: 2025
Citation: Fractal and Fractional, 9(1), 40
Source: Fractal and Fractional 🌊📉

🌍 Assessment and Study of Four Major Air Pollutants in Three Main Garhwal Region in Uttarakhand
Authors: A. Tomar, V. Kumar, P.P. Pathak, F.S. Gill
Year: 2025
Citation: Challenges in Information, Communication and Computing Technology, 286-291
Source: Challenges in Information, Communication and Computing Technology 🌍🌀

🚀 A New Extended Metric Space and Solution of Rocket’s Ascending Motion
Authors: A. Tomar
Year: 2025
Citation: Asian-European Journal of Mathematics, 2550001, 18
Source: Asian-European Journal of Mathematics 🚀📐

💡 Resolving Elliptic Boundary Value Problem and Integral Equation in Relational Partial Metric Space
Authors: M. Joshi, A. Tomar, M. Sajid, S.K. Padaliya
Year: 2024
Citation: Heliyon, 10(23)
Source: Heliyon 💡🌍

🔍 On Set-Valued Fixed Points, Their Geometry, and Solution of Boundary Value Problem for a Differential Inclusion
Authors: M. Joshi, A. Tomar
Year: 2024
Citation: Indian Journal of Pure and Applied Mathematics, 1-16
Source: Indian Journal of Pure and Applied Mathematics 🧮🔍

📈 Asymptotic Behavior of Generalized CR− Iteration Algorithm and Application to Common Zeros of Accretive Operators
Authors: A. Mushtaq, K. Moinuddin, N. Sharma, A. Tomar
Year: 2024
Citation: MATHEMATICA, 399
Source: MATHEMATICA 📈🔄

🗣️ International Symposium on Recent Progress in Fixed Point Theory
Author: A. Tomar
Year: 2023
Citation: Ege University
Source: Ege University 🗣️🔢

Peng Yue | Pure Mathematics | Best Researcher Award

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Prof. Dr. Peng Yue | Pure Mathematics | Best Researcher Award

Dr. at Ocean University of China, China

Prof. Dr. Peng Yue is a distinguished academic currently serving as a professor at the School of Physics and Optoelectronic Engineering, Ocean University of China. With a solid educational foundation, he earned his bachelor’s, master’s, and Ph.D. degrees in mechanics from the National Aerospace University “Kharkov Aviation Institute.” Prof. Yue’s research focuses on developing mathematical and mechanical theories and models related to nonlinear and complex systems, bridging mathematics, physics, and engineering. His notable contributions include several publications in prestigious journals, including works on fluid dynamics, aerodynamics, and mathematical models for flow field separation. Additionally, Prof. Yue has been an active participant in international awards, often presenting as a keynote speaker. He is a member of several academic societies, including the Chinese Mathematical Society and the Chinese Society of Industrial and Applied Mathematics. His interdisciplinary work and leadership in the field make him a prominent figure in applied mathematics and engineering.

Professional Profile 

Scopus Profile
ORCID Profile 

Education

Prof. Dr. Peng Yue’s educational journey reflects his dedication to advancing the fields of mathematics, mechanics, and physics. He began his academic path at the National Aerospace University “Kharkov Aviation Institute” where he earned his bachelor’s degree in theoretical and applied mechanics in 2011. His passion for mechanics led him to pursue a master’s degree in the same field, which he completed in 2013. Demonstrating exceptional academic ability and a deep interest in complex systems, Prof. Yue continued his studies at the same institution and earned his Ph.D. in mechanics in 2017. This rigorous academic foundation laid the groundwork for his subsequent research career. His advanced education provided him with a comprehensive understanding of mathematical and mechanical theories, equipping him with the skills necessary to develop models and algorithms for nonlinear and complex systems.

Professional Experience

Prof. Dr. Peng Yue has an extensive professional background that spans academia and research in the fields of mathematics, mechanics, and engineering. He currently serves as a professor at the School of Physics and Optoelectronic Engineering, College of Information Science and Engineering, Ocean University of China. Prior to 2023, he held significant academic and research positions at the University of Electronic Science and Technology of China and the China Aerodynamics Research and Development Center, where he contributed extensively to the study of nonlinear and complex systems. Prof. Yue’s expertise also includes developing practical models and algorithms for mathematical and mechanical theories. He earned his bachelor’s, master’s, and Ph.D. degrees from the National Aerospace University “Kharkov Aviation Institute.” Throughout his career, Prof. Yue has been actively involved in numerous projects and awards, including as a keynote speaker at prestigious international events like the 13th International Conference on Computational Mechanics.

Research Interest

Prof. Dr. Peng Yue’s research interests primarily focus on the development of mathematical and mechanical theories applied to nonlinear and complex systems. He explores practical models and algorithms that bridge the gap between theoretical mechanics and real-world engineering problems. His work is at the intersection of mathematics, physics, and engineering, with particular emphasis on the modeling and analysis of fluid dynamics, flow separation, and multi-field coupling mechanisms. Prof. Yue is also dedicated to advancing numerical methods such as the boundary element method for determining aerodynamic characteristics and improving techniques in Cartesian tensor analysis. His research aims to enhance understanding of the behavior of complex physical systems, with applications in aerodynamics, mechanics, and technology. By developing new mathematical models, he strives to solve practical challenges faced by modern engineering, contributing to the broader understanding of nonlinear phenomena and pushing the boundaries of applied mathematics and mechanical systems.

Award and Honor

Prof. Dr. Peng Yue has earned significant recognition throughout his academic career, marking him as a distinguished figure in the fields of applied mathematics, mechanics, and engineering. As a member of the Chinese Mathematical Society, the Chinese Society for Industrial and Applied Mathematics, and the Chinese Society of Mechanics, his contributions to mathematical modeling and nonlinear systems have been widely acknowledged. He has held important academic positions, including as a professor at the Institute of Space Technology at the China Aerodynamics Research and Development Center, and more recently at Ocean University of China. His research has led to numerous high-impact journal publications, with key articles on complex fluid dynamics, aerodynamics, and tensor analysis. Prof. Yue has also made significant contributions to international awards, delivering keynote addresses, such as at the 13th International Conference on Computational Mechanics. His honors reflect both his scholarly achievements and his leadership in advancing scientific and engineering knowledge.

Conclusion

Prof. Dr. Peng Yue has proven to be an exceptional researcher, blending advanced mathematical, mechanical, and physical theories with practical models and algorithms. His academic journey, from earning a Ph.D. at the National Aerospace University “Kharkov Aviation Institute” to holding prominent positions at renowned institutions like the University of Electronic Science and Technology of China and the Ocean University of China, showcases his deep expertise. Prof. Yue’s extensive publication record, including high-quality journal articles on nonlinear systems and fluid dynamics, as well as his role as a keynote speaker at international awards, reflects his influential contributions to his fields. His involvement in major scientific societies such as the Chinese Mathematical Society further emphasizes his academic prominence. While continuing to expand the reach of his research, Prof. Yue’s exceptional scholarship, leadership, and interdisciplinary work solidify his standing as a distinguished figure in applied mathematics and mechanics.

Publications Top Noted

  • Title: Surface Pressure Calculation Method of Multi-Field Coupling Mechanism under the Action of Flow Field
    Authors: Zhang, J., Wei, S., Yue, P., Kulik, A.S., Li, G.
    Year: 2023
    Citations: 1
  • Title: Mathematical Model for Excited State Fluid Dynamics
    Authors: Yue, P., Zhang, J., Wei, S.
    Year: 2023
    Citations: 0
  • Title: Mathematical Principle Analysis of Transition Point Prediction
    Authors: Yue, P., Zhang, J., Peng, D., Wei, S.
    Year: 2022
    Citations: 0
  • Title: Mathematical Principle Analysis of Separation Point Prediction
    Authors: Yue, P., Zhang, J., Peng, D., Wei, S.
    Year: 2021
    Citations: 0
  • Title: Mathematical Model and Analysis Method for Flowfield Separation and Transition
    Authors: Yue, P., Xiao, J., Xu, K., Lu, Y., Peng, D.
    Year: 2021
    Citations: 5
  • Title: Numerical Implementation of Boundary Element Method for Determining Aerodynamic Characteristics around Airfoil System by Viscous Media
    Authors: Xu, K., Yue, P., Liu, Q., Lu, Y., Zhang, J.
    Year: 2020
    Citations: 3
  • Title: Extension of Calculus Operations in Cartesian Tensor Analysis
    Authors: Lu, Y., Yue, P., Wei, S.
    Year: 2020
    Citations: 1