Generalizations of Banach and Kannan Fixed point theorems in b_{v}(s) metric spaces

TL;DR

This paper extends fixed point theorems, specifically Banach and Kannan, to the recently introduced b_{v}(s) metric spaces, broadening their applicability in mathematical analysis.

Contribution

It proves Kannan fixed point theorem and generalizes Banach fixed point theorem for weakly contractive mappings in b_{v}(s) metric spaces, extending existing results.

Findings

Proved Kannan fixed point theorem in b_{v}(s) metric spaces.

Generalized Banach fixed point theorem for weakly contractive mappings.

Extended the applicability of fixed point theorems to new generalized metric spaces.

Abstract

Generalizations of a metric space is one of the most important research areas in mathematics. In literature ,there are several generalized metric spaces. The latest generalized metric space is b_{v}(s) metric space which is introduced by Mitrovic and Radenovic in 2017. In this paper, we prove Kannan fixed point theorem and generalize Banach fixed point theorem for weakly contractive mappings in b_{v}(s) metric spaces. Our results extend and generalize some corresponding result.