Set-valued Perov contractive mappings

In this work, we consider set-valued Perov contractive mappings acting in a generalized metric space.Our first result shows that a certain iterative process generates approximate fixed points.In our second result, we prove that an iterative process generates iterates which converge to a fixed point of the mapping.

Publication Details

Journal
Communications in Optimization Theory
Published
2025-01-01
DOI
https://doi.org/10.23952/cot.2025.44
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
0.00
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article

Set-valued Perov contractive mappings

Communications in Optimization Theory
Fixed Point Theorems Analysis
article

Set-valued Perov contractive mappings

article en

Abstract

In this work, we consider set-valued Perov contractive mappings acting in a generalized metric space.Our first result shows that a certain iterative process generates approximate fixed points.In our second result, we prove that an iterative process generates iterates which converge to a fixed point of the mapping.

Communications in Optimization TheoryVol. 2025(1)
Openalex Percentile: Top 66%
Fixed Point Theorems Analysis
DOIOpen Access PDFOpenAlex
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Set-valued Perov contractive mappings · Communications in Optimization Theory (2025) | TGRS Research Map | TGRS