Approximation of iterative methods for altering points problem with applications

In this paper, we consider and investigate an altering points problem involving generalized accretive mappings over closed convex subsets of a real uniformly smooth Banach space. Parallel Mann and parallel S-iterative methods are suggested to analyze the approximate solution of altering points probl...

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Bibliographic Details
Published inMathematical modelling and analysis Vol. 28; no. 1; pp. 118 - 145
Main Authors Khan, Aysha, Akram, Mohammad, Dilshad, Mohammad
Format Journal Article
LanguageEnglish
Published Vilnius Vilnius Gediminas Technical University 01.01.2023
Subjects
altering points problem
Applied mathematics
Approximation
Banach spaces
Boundary value problems
Inclusions
Iterative methods
Iterative methods (Mathematics)
Mappings (Mathematics)
Mathematical analysis
Mathematical research
Methods
Partial differential equations
Saudi Arabia
iterative methods
altering points problem
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Summary:In this paper, we consider and investigate an altering points problem involving generalized accretive mappings over closed convex subsets of a real uniformly smooth Banach space. Parallel Mann and parallel S-iterative methods are suggested to analyze the approximate solution of altering points problem. Consequently, some systems of generalized variational inclusions and generalized variational inequalities are also explored using the conceptual framework of altering points. Convergence of suggested iterative methods are verified by an illustrative numerical example.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:1392-6292
1648-3510
DOI:10.3846/mma.2023.14858