Title of article :
Nonlinear Contraction Mappings in b-metric Space and Related Fixed Point Results with Application
Author/Authors :
Raji ، Muhammed Department of Mathematics - Confluence University of Science and Technology , Rajpoot ، Arvind Kumar Department of Mathematics - Aligarh Muslim University , Rathour ، Laxmi Department of Mathematics - National Institute of Technology , Mishra ، Lakshmi Narayan Department of Mathematics - School of Advanced Sciences - Vellore Institute of Technology , Mishra ، Vishnu Narayan Department of Mathematics - Indira Gandhi National Tribal University
Abstract :
The paper aims to introduce some fixed point results in the setting of sequential compact b-metric spaces to prove Eldeisten-Suzuki-type contraction for self-mappings. These contributions extend the existing literature on fixed point for ordered metric spaces and fixed point theory. Through illustrative examples, we showcase the practical applicability of our proposed notions and results, demonstrating their effectiveness in real-world scenarios.
Keywords :
Fixed point , Coincidence point , Eldeisten-Suzuki-type contraction , b-metric space
Journal title :
Transactions on Fuzzy Sets and Systems
Journal title :
Transactions on Fuzzy Sets and Systems
