Fixed point results for generalized geraghty and quasi (α,β)-admissible type contraction mappings in b-metric-like spaces

Abstract

In this paper, we extend the concept of generalized (α,β)-quasi contraction and obtain some fixed point theorems for such contractions on b-metric like spaces. We introduce the notion of a pair of generalized (α,β)-Geraghty type contractive mappings and establish some new common fixed point theorems satisfying a pair of generalized (α,β)-Geraghty type contractive mapping in complete b-metric-like space. Examples are included to illustrate that our result is a proper generalization of previous results. An application is also provided.