‎Nonlinear Contraction Mappings in b-metric Space and Related Fixed Point Results with Application

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