Fixed points and best proximity points for some general classes of multi-valued operators

In this paper, suggested by several concepts of multi-valued Feng-Liu operators, we will consider a general abstract class of operators and we will give some stability properties for special subclasses of it. The general results presented here cover several existence and stability theorems in the re...

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Bibliographic Details
Published inOptimization Vol. 74; no. 10; pp. 2483 - 2498
Main Authors Petruşel, Adrian, Petruşel, Gabriela, Yao, Jen-Chih
Format Journal Article
LanguageEnglish
Published Taylor & Francis 27.07.2025
Subjects
Complete metric space
contraction type operator
fixed point
multi-valued operator
stability properties
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Summary:In this paper, suggested by several concepts of multi-valued Feng-Liu operators, we will consider a general abstract class of operators and we will give some stability properties for special subclasses of it. The general results presented here cover several existence and stability theorems in the recent literature. An application to thhe best proximity point theory is also given.
ISSN:0233-1934
1029-4945
DOI:10.1080/02331934.2024.2353609