FIXED POINT RESULTS IN PARTIAL METRIC SPACES VIA INTEGRAL TYPE CONTRACTION WITH APPLICATION

In this paper, we derive some fixed point results via integral type contractive condition having rational terms in the setting of complete partial metric spaces and provide some consequences of the established results. Also, we give some examples in support of the established results. An application to the Fredholm integral equation is also given. Our results generalize, extend and enrich several previously published well-known fixed point results from the existing literature (see, e.g. [10], [11], [26] and many others).

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Publication Details

Journal
Facta Universitatis Series Mathematics and Informatics
Published
2025-08-03
DOI
https://doi.org/10.22190/fumi240818048s
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
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article

FIXED POINT RESULTS IN PARTIAL METRIC SPACES VIA INTEGRAL TYPE CONTRACTION WITH APPLICATION

G. S. Saluja
Facta Universitatis Series Mathematics and Informatics
Fixed Point Theorems Analysis
article

FIXED POINT RESULTS IN PARTIAL METRIC SPACES VIA INTEGRAL TYPE CONTRACTION WITH APPLICATION

G. S. Saluja
article en

Abstract

In this paper, we derive some fixed point results via integral type contractive condition having rational terms in the setting of complete partial metric spaces and provide some consequences of the established results. Also, we give some examples in support of the established results. An application to the Fredholm integral equation is also given. Our results generalize, extend and enrich several previously published well-known fixed point results from the existing literature (see, e.g. [10], [11], [26] and many others).

Facta Universitatis Series Mathematics and InformaticsVol. 40(3)
Openalex Percentile: Top 73%
Fixed Point Theorems Analysis
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FIXED POINT RESULTS IN PARTIAL METRIC SPACES VIA INTEGRAL TYPE CONTRACTION WITH APPLICATION — G. S. Saluja · Facta Universitatis Series Mathematics and Informatics (2025) | TGRS Research Map | TGRS