Graph Convergence and Iterative Approximation of Solution of a Set-Valued Variational Inclusions
In this article, first, we introduce a class of proximal-point mapping associated with generalized αiβj-Hp.,.,…-accretive mapping. Further, we discuss the graph convergence of generalized αiβj-Hp.,.,…-accretive mapping. As an application, we consider a set-valued variational inclusion problem (SVIP)...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/4540369 |
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| author | Faizan Ahmad Khan Sanjeev Gupta |
| author_facet | Faizan Ahmad Khan Sanjeev Gupta |
| author_sort | Faizan Ahmad Khan |
| collection | DOAJ |
| description | In this article, first, we introduce a class of proximal-point mapping associated with generalized αiβj-Hp.,.,…-accretive mapping. Further, we discuss the graph convergence of generalized αiβj-Hp.,.,…-accretive mapping. As an application, we consider a set-valued variational inclusion problem (SVIP) in real Banach spaces. Furthermore, we propose an iterative scheme involving the above class of proximal-point mapping to find a solution of SVIP and discuss its convergence under some convenient assumptions. An example is constructed and demonstrated few graphics in support of our main results. |
| format | Article |
| id | doaj-art-9e3175b00e6d4a8594a1e1edb0138b3e |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-9e3175b00e6d4a8594a1e1edb0138b3e2025-02-03T01:32:19ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/4540369Graph Convergence and Iterative Approximation of Solution of a Set-Valued Variational InclusionsFaizan Ahmad Khan0Sanjeev Gupta1Department of MathematicsDepartment of MathematicsIn this article, first, we introduce a class of proximal-point mapping associated with generalized αiβj-Hp.,.,…-accretive mapping. Further, we discuss the graph convergence of generalized αiβj-Hp.,.,…-accretive mapping. As an application, we consider a set-valued variational inclusion problem (SVIP) in real Banach spaces. Furthermore, we propose an iterative scheme involving the above class of proximal-point mapping to find a solution of SVIP and discuss its convergence under some convenient assumptions. An example is constructed and demonstrated few graphics in support of our main results.http://dx.doi.org/10.1155/2022/4540369 |
| spellingShingle | Faizan Ahmad Khan Sanjeev Gupta Graph Convergence and Iterative Approximation of Solution of a Set-Valued Variational Inclusions Journal of Mathematics |
| title | Graph Convergence and Iterative Approximation of Solution of a Set-Valued Variational Inclusions |
| title_full | Graph Convergence and Iterative Approximation of Solution of a Set-Valued Variational Inclusions |
| title_fullStr | Graph Convergence and Iterative Approximation of Solution of a Set-Valued Variational Inclusions |
| title_full_unstemmed | Graph Convergence and Iterative Approximation of Solution of a Set-Valued Variational Inclusions |
| title_short | Graph Convergence and Iterative Approximation of Solution of a Set-Valued Variational Inclusions |
| title_sort | graph convergence and iterative approximation of solution of a set valued variational inclusions |
| url | http://dx.doi.org/10.1155/2022/4540369 |
| work_keys_str_mv | AT faizanahmadkhan graphconvergenceanditerativeapproximationofsolutionofasetvaluedvariationalinclusions AT sanjeevgupta graphconvergenceanditerativeapproximationofsolutionofasetvaluedvariationalinclusions |