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)...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/4540369 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | 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. |
|---|---|
| ISSN: | 2314-4785 |