New fixed point theorems in metric spaces with w-distance

Ashish Kumar; Lokesh Kumar Joshi; Rajendra Pant

doi:10.4995/agt.2025.22453

New fixed point theorems in metric spaces with w-distance

Ashish Kumar
, Lokesh Kumar Joshi
, Rajendra Pant

Research output: Contribution to journal › Article › peer-review

Abstract

This paper presents some new fixed point results for a class of weakly contractive maps in a metric space. We use the concept of w-distance in the framework of metric spaces. As far as we know, the concept of w-distance is being utilized for the first time to study Suzuki-type antecedent conditions with weakly contractive maps. An illustrative example demonstrates the generality of the main result.

Original language	English
Pages (from-to)	469-482
Number of pages	14
Journal	Applied General Topology
Volume	26
Issue number	1
DOIs	https://doi.org/10.4995/agt.2025.22453
Publication status	Published - 1 Apr 2025
Externally published	Yes

Keywords

Suzuki type contraction
fixed point
w-distance
weakly contractive maps

ASJC Scopus subject areas

Geometry and Topology

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10.4995/agt.2025.22453

Cite this

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title = "New fixed point theorems in metric spaces with w-distance",

abstract = "This paper presents some new fixed point results for a class of weakly contractive maps in a metric space. We use the concept of w-distance in the framework of metric spaces. As far as we know, the concept of w-distance is being utilized for the first time to study Suzuki-type antecedent conditions with weakly contractive maps. An illustrative example demonstrates the generality of the main result.",

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AB - This paper presents some new fixed point results for a class of weakly contractive maps in a metric space. We use the concept of w-distance in the framework of metric spaces. As far as we know, the concept of w-distance is being utilized for the first time to study Suzuki-type antecedent conditions with weakly contractive maps. An illustrative example demonstrates the generality of the main result.

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KW - fixed point

KW - w-distance

KW - weakly contractive maps

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New fixed point theorems in metric spaces with w-distance

Abstract

Keywords

ASJC Scopus subject areas

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