Prof. Sanjay Kumar Padaliya - Fixed Point Theory - Best Researcher Award
SGRR PG College, Dehradun - India
Author Profile
🎓 Early Academic Pursuits
Professor Sanjay Kumar Padaliya’s academic journey began with a passion for mathematics, which led him to pursue advanced studies in the subject. He earned his Ph.D. in Mathematics from Kumaun University, Nainital, specializing in fixed point theory and fuzzy analysis. This early focus on foundational and applied aspects of mathematics set the stage for a distinguished career in research and education.
💼 Professional Endeavors
Prof. Padaliya is currently the Head of the Department of Mathematics at S.G.R.R. (P.G.) College, Dehradun, where he has been teaching for 24 years. He has contributed significantly to mathematics education, teaching both undergraduate and postgraduate courses. His role as IQAC/NAAC Coordinator from 2016 to 2022 was instrumental in the college achieving its highest accreditation grade. He also serves as a member of the Board of Governors at Dev Bhoomi Uttarakhand University, Dehradun, and as an Associate Editor for the Journal of Graphic Era University.
🔬 Contributions and Research Focus
Prof. Padaliya’s research interests lie in fixed point theory, fuzzy analysis, and fractal geometry. He has made significant contributions to these areas, publishing over 30 scientific papers in reputed international journals. His work has been presented at numerous national and international conferences, highlighting his active engagement in advancing mathematical knowledge. Prof. Padaliya has also supervised five Ph.D. scholars and is currently guiding three more, fostering the growth of future researchers in the field.
🌍 Impact and Influence
Prof. Padaliya’s impact extends beyond academia through his leadership roles and active participation in professional organizations. As a life member of the Indian Mathematical Society, Ramanujan Mathematical Society, and International Academy of Physical Sciences, he plays a vital role in fostering collaboration within the mathematical community. His contributions to fixed point theory and fuzzy analysis have influenced ongoing research and applications in mathematics and related disciplines.
🏆Academic Cites
The academic citations of Prof. Padaliya’s research reflect the importance and influence of his work in the mathematical sciences. His papers on fixed point theory and fuzzy analysis are widely cited, underlining their relevance to both theoretical advancements and practical applications. These contributions have solidified his position as a prominent researcher in these domains.
🌟 Legacy and Future Contributions
Prof. Sanjay Kumar Padaliya’s legacy is rooted in his dedication to teaching, research, and academic leadership. His work in fixed point theory has laid a strong foundation for future exploration and innovation in mathematics. As he continues to guide Ph.D. scholars and contribute to professional organizations, his influence will persist in shaping the next generation of mathematicians. His vision for academic excellence ensures that his contributions will have a lasting impact on mathematics education and research.
📝Fixed Point Theory
Prof. Padaliya’s extensive research in fixed point theory has significantly contributed to mathematical advancements. His focus on fixed point theory, fuzzy analysis, and fractal geometry has led to over 30 published works and numerous conference presentations. As a leader in fixed point theory, his ongoing research and mentorship continue to influence the field and inspire future scholars.
Notable Publication
📝On the evolution and importance of the Fibonacci sequence in visualization of fractals
Authors: Sharma, S., Tomar, A., Padaliya, S.K.
Journal: Chaos, Solitons and Fractals
Year: 2025
Citations: 0
📝Resolving elliptic boundary value problem and integral equation in relational partial metric space
Authors: Joshi, M., Tomar, A., Sajid, M., Padaliya, S.K.
Journal: Heliyon
Year: 2024
Citations: 0
📝Fractals as Julia and Mandelbrot Sets via S-iteration
Authors: Padaliya, S.K., Sharma, S., Singh, J.P.
Journal: Journal of Mobile Multimedia
Year: 2024
Citations: 0
📝On relation-theoretic F−contractions and applications in F−metric spaces
Authors: Tomar, A., Joshi, M., Padaliya, S.K.
Journal: Acta Universitatis Sapientiae, Mathematica
Year: 2023
Citations: 2
📝Relation theoretic contractions and their applications in b-metric like spaces
Authors: Tomar, A., Joshi, M., Padaliya, S.K.
Journal: Journal of Applied Analysis
Year: 2022
Citations: 1
📝Fixed point to fixed circle and activation function in partial metric space
Authors: Tomar, A., Joshi, M., Padaliya, S.K.
Journal: Journal of Applied Analysis
Year: 2022
Citations: 19