loading page

GENERALIZED WARDOWSKI TYPE CONTRACTIVE MAPPINGS IN b -METRIC SPACE WITH APPLICATIONS
  • Afshan Batool,
  • Maryam Iqbal
Afshan Batool
Fatima Jinnah Women University

Corresponding Author:[email protected]

Author Profile
Maryam Iqbal
Fatima Jinnah Women University
Author Profile

Abstract

The purpose of this study is to introduce a generalized Wardowski type quasi-contraction known as α-( ϕ,Ω) in the setting of b-metric space. Firstly, we present typical fixed point results using our new contraction and then we demonstrate the existence of generalized Wardowski type quasi-contraction, supporting the veracity of our findings. Specifically, we illustrate the application of our results through examples. Moreover, we provide a comparison of our result with Nadler’s work to show the efficiency of our main result. The problem related to optimization is solved with the help of this method.