New fixed point theorems in metric space with w-distance

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...

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Bibliographic Details
Published inApplied general topology Vol. 26; no. 1; pp. 469 - 482
Main Authors Kumar, Ashish, Joshi, Lokesh Kumar, Pant, Rajendra
Format Journal Article
LanguageEnglish
Published Universitat Politècnica de València 01.04.2025
Subjects
fixed point
suzyki type contraction
w-distance
weakly contractive maps
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ISSN1576-9402
1989-4147
DOI10.4995/agt.2025.22453

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Summary: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.
ISSN:1576-9402
1989-4147
DOI:10.4995/agt.2025.22453