 | METRICAL FIXED POINT THEORY AND APPLICATIONSEditor: Dr. Manoj Kumar AntilProfessor and Head Department of Mathematics Baba Mastnath University Asthal Bohar, Rohtak, India ISBN (Print): 978-81-954166-8-4  ISBN (E-Book): 978-81-954166-4-6 DOI: 10.26713/mfpta |
ABOUT THE BOOK
Fixed point theory is a fascinating subject, with an enormous number of applications in various fields of mathematics. It is an attractive area of Functional Analysis. Fixed point theory arose from the Banach contraction principle and has been studied for a long time. Its application mostly relies on the existence of solutions to mathematical problems that are formulated from economics and engineering. Several major branches of Mathematics and Engineering including set theory, general topology, algebraic topology, robotic analysis provides natural setting for fixed point theorems. An application of fixed-point theorems encompasses diverse disciplines of mathematics, statistics, engineering, biology, and economics. Using fixed point theory techniques, it is possible to analyze several concrete problems from science and engineering, where one is concerned with a system of differential/integral/functional equations. Fixed Point theorems are the most important tools for proving the existence and the uniqueness of the solutions to various mathematical models (differential, integral, PDE and variational inequalities etc.) representing phenomena arising in the different fields. Fixed point Theory also provide mathematical basis to carry out asymptotic complexity analysis of algorithms.
CHAPTERS
Suzuki-Edelstein Type Contractions in S-metric Spaces: Kumar, M. & Kumar, P.
Kumar, M., & Kumar, P. (2024). Suzuki-Edelstein type contractions in S-metric spaces, In: Metrical Fixed Point Theory and Applications, Kumar, M. (ed), RGN Publications, Delhi. doi: 10.26713/mfpta.01
Fixed Point Results Employing Commuting Mappings and \(\phi,\psi\)-Contraction In Neutrosophic Metric Spaces: Gupta, V., Garg, N., & Sharma, R.
Gupta, V., Garg, N., & Sharma, R. (2024), Fixed Point Results Employing Commuting Mappings and \(\phi,\psi\)-Contraction In Neutrosophic Metric Spaces. In: Metrical Fixed Point Theory and Applications, Kumar, M. (ed), RGN Publications, Delhi. doi: 10.26713/mfpta.02
Common Fixed Points Theorems in Partially Ordered b-metric Space: Pingale, M.S., & Mani, N.K.
Pingale, M.S., & Mani, N.K. (2024). Common Fixed Points Theorems in Partially Ordered b-metric Space. In: Metrical Fixed Point Theory and Applications, Kumar, M. (ed), RGN Publications, Delhi. doi: 10.26713/mfpta.03
Fixed Point Result of Compatible Mapping of Type K in Modular Metric Space: Malik, S.
Malik, S. (2024). Fixed Point Result of Compatible Mapping of Type K in Modular Metric Space. In: Metrical Fixed Point Theory and Applications, Kumar, M. (ed), RGN Publications, Delhi. doi: 10.26713/mfpta.04
Complete Metric, Partial Metric and Metric-Like-Spaces with an Aid of Simulation Function: Sharma, R., & Shilpa
Sharma, R., & Shilpa (2024). Complete Metric, Partial Metric and Metric-Like-Spaces with an Aid of Simulation Function. In: Metrical Fixed Point Theory and Applications, Kumar, M. (ed), RGN Publications, Delhi. doi: 10.26713/mfpta.05
Fixed Point Theorems in Complete Soft Multiplicative Metric Space Using Soft Multiplicative Weak Contractive Mappin: Nagpal, S., Devi, S., & Kumar, M.
Nagpal, S., Devi, S., & Kumar, M. (2024). Fixed Point Theorems in Complete Soft Multiplicative Metric Space Using Soft Multiplicative Weak Contractive Mappin. In: Metrical Fixed Point Theory and Applications, Kumar, M. (ed), RGN Publications, Delhi. doi: 10.26713/mfpta.06
Exploring the Existence of Common Fixed Points in the Context of Intuitionistic Fuzzy b-Metric Spaces: Anju, & Gupta, V.
Anju, & Gupta, V. (2024). Exploring the Existence of Common Fixed Points in the Context of Intuitionistic Fuzzy b-Metric Spaces. In: Metrical Fixed Point Theory and Applications, Kumar, M. (ed), RGN Publications, Delhi. doi: 10.26713/mfpta.07
Common Fixed Point Theorems for (ξ -α) Expansive Mapping in Modular Metric Spaces: Kumar, P., Sarita, Aggarwal, S., & Meenakshi
Kumar, P., Sarita, Aggarwal, S., & Meenakshi (2024). Common Fixed Point Theorems for (ξ – α) Expansive Mapping in Modular Metric Spaces. In: Metrical Fixed Point Theory and Applications, Kumar, M. (ed), RGN Publications, Delhi. doi: 10.26713/mfpta.08
Common Fixed Point Theorems satisfying Weak Compatibility and (CLCS) Property in the Setting of G-metric Spaces: Reena & Reena
Reena , & Reena (2024). Common Fixed Point Theorems satisfying Weak Compatibility and (CLCS) Property in the Setting of G-metric Spaces. In: Metrical Fixed Point Theory and Applications, Kumar, M. (ed), RGN Publications, Delhi. doi: 10.26713/mfpta.09
Common Fixed Point Results for Generalized \(\phi,\psi\)-Weak Contractive Mappings in Complete Metric Space: Kumar, M., & Kumar, N.
Kumar, M., & Kumar, N. (2024). Common Fixed Point Results for Generalized \(\phi,\psi\)-Weak Contractive Mappings in Complete Metric Space. In: Metrical Fixed Point Theory And Applications, Kumar, M. (ed), RGN Publications, Delhi. doi: 10.26713/mfpta.10
Compatible Mapping and Common Fixed-Point Theorems in b Metric Spaces: Singhal, A., Bhadauriya, M.S., & Kumar, S.
Singhal, A., Bhadauriya, M.S., & Kumar, S. (2024). Compatible Mapping and Common Fixed-Point Theorems in b Metric Spaces. In: Metrical Fixed Point Theory And Applications, Kumar, M. (ed), RGN Publications, Delhi. doi: 10.26713/mfpta.11
Fixed Point Theorems for Generalized \(\psi-\phi\)-weak Contractions in S-metric Space: Kumar, M., & Deepika
Kumar, M., & Deepika (2024). Fixed Point Theorems for Generalized \(\psi-\phi\)-weak Contractions in S-metric Space. In: Metrical Fixed Point Theory And Applications, Kumar, M. (ed), RGN Publications, Delhi. doi: 10.26713/mfpta.12
Asymptotically Regular Mappings and Common Fixed Point in 2-Metric Spaces: Singhal, A., Bhadauriya, M.S., & Kumar, S.
Singhal, A., Bhadauriya, M.S., & Kumar, S. (2024). Asymptotically Regular Mappings and Common Fixed Point in 2-Metric Spaces. In: Metrical Fixed Point Theory and Applications, Kumar, M. (ed), RGN Publications, Delhi. doi: 10.26713/mfpta.13
Fixed Point Results for α-type F-expanding Mapping in Metric Spaces: Poonam, Preeti & Kumar., N.
Poonam, Preeti, & Kumar, N. (2024). Fixed Point Results for α-type F-expanding Mapping in Metric Spaces. In: Metrical Fixed Point Theory and Applications, Kumar, M. (ed), RGN Publications, Delhi. doi: 10.26713/mfpta.14
Application of Fixed Point Theory to Prove the Stability of Quadratic Functional Equation in Random Normed Space: Amrit, Kumar, A., & Kumar., M.
Amit, Kumar, A., & Kumar, M. (2024). Application of Fixed Point Theory to Prove the Stability of Quadratic Functional Equation in Random Normed Space. In: Metrical Fixed Point Theory and Applications, Kumar, M. (ed), RGN Publications, Delhi. doi: 10.26713/mfpta.15
Fixed Point Result via Jaggi-Type Hybrid Contraction in Metric Spaces: Lata, P. & Kumar, M.
Lata, P. & Kumar, M. (2024). Fixed Point Result via Jaggi-Type Hybrid Contraction in Metric Spaces. In: Metrical Fixed Point Theory and Applications, Kumar, M. (ed), RGN Publications, Delhi. doi: 10.26713/mfpta.17
Common Fixed Point Results for Pair of Maps In N-Fuzzy b-Metric Space: Manjeet, & Kumar, M.
Manjeet. & Kumar, M. (2024). Common Fixed Point Results for Pair of Maps In N-Fuzzy b-Metric Space. In: Metrical Fixed Point Theory and Applications, Kumar, M. (ed), RGN Publications, Delhi. doi: 10.26713/mfpta.18