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Common Fixed Points Of Compatible Maps In Fuzzy Metric Spaces And Fuzzy Mathematics

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ISBN 9789367092637
Name of Authors Dr. Shefal Harshadsinh Vaghela , Prof. Ritu Khanna
Edition 1st
Book Type Hard Back
Year 2025
Pages 161

Dr. Shefal Harshadsinh Vaghela is an accomplished mathematician, academician, and researcher with over Eleven years of teaching and research experience in higher education. She holds a Ph.D. in Mathematics from Pacific Academy of Higher Education and Research University, Udaipur, where she completed her doctoral research under the supervision of Dr. Ritu Khanna and Dr. Shailesh Patel. Her research work focuses on fixed point theory, particularly in fuzzy metric spaces, fuzzy mathematics, b-metric spaces, Banach algebras, and generalized metric structures.

Dr. Vaghela has over nine years of academic experience and has served as an Assistant Professor and Head of the Department of Mathematics at Shankersinh Vaghela Bapu Institute of Science and Commerce, Gandhinagar from 2015 to 2023. Since 2024, she has been working as an Assistant Professor of Mathematics at Swarrnim Science College. Swarrnim Startup and Innovation University where she continues to actively engage in teaching, mentoring students, and academic development.

She has published several research papers in reputed national and international journals, addressing contemporary developments in fixed point theory and functional analysis. In addition, she has presented her research at various international conferences, reflecting her active engagement with the global mathematical research community.

Dr. Vaghela’s academic interests include Topology. Number Theory, Differential Equations, and Integral Transforms. She possesses strong computational skills and is proficient in MATLAB, LaTeX, C programming, and MS Office, which she effectively integrates into her teaching and research work

With a passion for mathematics education and research, Dr. Shefal Vaghela is committed to advancing mathematical knowledge and inspiring students through rigorous teaching and scholarly contributions.

Professor Ritu Khanna is a distinguished academician with an extensive background in mathematics and education. She has over 20 years of teaching experience, she has made significant contributions to research and academia. She has successfully completed two minor research. projects funded by the Department of Tribal Area Development, Government of Rajasthan. Professor Khanna has an impressive publication record, with 45 research papers published in esteemed national and international journals She has attended about 20 International/ National Conferences and presented papers. Additionally, she has authored a book on Discrete Mathematics, published by Lambert Acadernic Publishing, Germany. She has been a member of the advisory committee for the National Conference on Emerging Trends in Developing India: A Vision for the Future 2024, Her scholarly excellence has been recognized with the Best Paper Award at the Third International Conference on Artificial Intelligence, 5G Communications, and Network Technologies. A dedicated research mentor, she has successfully guided 18 Ph.D. scholars, with eight more currently working under her supervision. Her research interests include Graph Theory, Group Theory, and related mathematical disciplines.

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