‎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 )

Submited date : 2024-05-27 Accepted date : 2024-08-19

Keywords: Fixed point‎, ‎coincidence point‎, ‎Eldeisten-Suzuki-type contraction‎, ‎b-metric space‎,

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.

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