Nonlinear Contraction Mappings in b-metric Space and Related Fixed Point Results with Application
Muhammed Raji
1
(Department of Mathematics, Federal University Lokoja, Lokoja, Nigeria)
Arvind Kumar Rajpoot
2
(Department of Mathematics Aligarh Muslim University Aligarh 202002, India)
Laxmi Rathour
3
(Department of Mathematics,Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, Madhya Pradesh 484 887, India)
Lakshmi Narayan Mishra
4
(Department of Mathematics School of Advanced Sciences, Vellore Institute of Technology, Vellore 632 014 Tamil Nadu, India)
Vishnu Narayan Mishra
5
(Department of Mathematics,Indira Gandhi National Tribal University,Lalpur, Amarkantak, Anuppur, Madhya Pradesh 484 887, India)
الکلمات المفتاحية: Fixed point, coincidence point, Eldeisten-Suzuki-type contraction, b-metric space,
ملخص المقالة :
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.
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