Nonunique Fixed Point Results via Kannan $F$-Contraction on Quasi-Partial $b$-Metric Space

Abstract

This paper is aimed at acquainting with a new Kannan F -expanding type mapping by the approach of Wardowski in the complete metric space. We establish some fixed point results for Kannan F -expanding type mapping and F -contractive type mappings which satisfy F -contraction conditions. Additionally, some new results are given which generalize several results present in the literature. Moreover, some applications and examples are provided to show the practicality of our results.

Fixed-Point Theorems for ω − ψ -Interpolative Hardy-Rogers-Suzuki-Type Contraction in a Compact Quasipartial b -Metric Space

“…Then, it is a quasipartial b-metric on M: Gautam et al [37,38] extended several results in quasipartial b-metric spaces.…”

Approximating the fixed points of Suzuki's generalized non-expansive map via an efficient iterative scheme with an application

“…The class of generalized non-expansive mappings and non-expansive mappings has been studied by many researchers. Some of the recent and interesting works can be referred to in [1] , [3], [4], [5], [6], [10], [11], [12], [16], [19], [26], [28], [29], [32], [34], [35] and [36]. In 2008, Suzuki [34] introduced the concept of Suzuki's Generalized non expansive map defined as A self map T : C → C where C is a non empty subset of a Banach Space is a Suzuki's Generalized non expansive map if for all x, y ∈ C…”