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.
Highlights
Introduction and PreliminariesIn 1922, Banach [1] commenced one of the most essential and notable results called the Banach contraction principle, i.e., let P be a self-mapping on a nonempty set X and d be a complete metric, if there exists a constant k ∈ 1⁄20, 1Þ such that dðPu, PvÞ ≤ k dðu, vÞ, ð1Þ for all u, v ∈ X
We have established a new type of mapping, i.e., Kannan F-expanding type mapping, and proved some fixed point results for F-contractive type mappings as well as Kannan F-expanding type mappings in the setting of quasi-partial b-metric space without using the continuity of mapping
We prove the fixed point results for Kannan F -expanding type mappings in a quasi-partial b-metric space
Summary
In 1922, Banach [1] commenced one of the most essential and notable results called the Banach contraction principle, i.e., let P be a self-mapping on a nonempty set X and d be a complete metric, if there exists a constant k ∈ 1⁄20, 1Þ such that dðPu, PvÞ ≤ k dðu, vÞ, ð1Þ for all u, v ∈ X It has a unique fixed point in X. Following this direction, we have established a new type of mapping, i.e., Kannan F-expanding type mapping, and proved some fixed point results for F-contractive type mappings as well as Kannan F-expanding type mappings in the setting of quasi-partial b-metric space without using the continuity of mapping. -contraction as well as interpolation for Kannan F-expanding type mapping can be future studies concerning the present manuscript
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