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Volume 56, Issue 3
System of Set-Valued Nonlinear Generalized Variational Inclusion Problems in Banach Spaces

Sumeera Shafi

DOI: 10.4208/jms.v56n3.23.04

J. Math. Study, 56 (2023), pp. 309-326.

Published online: 2023-07

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  • Abstract

In this paper, we consider a system of set-valued nonlinear generalized variational inclusion problems (SNGVIP) in $q$-uniformly smooth Banach spaces. We define a class of $H(·,·)$-mixed mappings and its associated class of resolvent operators. Further, using proximal-point mapping method, we suggest an iterative algorithm for finding the solution of the system of set-valued nonlinear generalized variational inclusion problems. Furthermore, we discuss the convergence criteria of the sequences generated by the iterative algorithm.

  • Keywords

System of set-valued nonlinear generalized variational inclusion problems, $H(·,·)$-mixed mappings, proximal-point mapping, $q$-uniformly smooth Banach spaces, convergence analysis.

  • AMS Subject Headings

47H09, 47J20, 49J40

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JMS-56-309, author = {Shafi , Sumeera}, title = {System of Set-Valued Nonlinear Generalized Variational Inclusion Problems in Banach Spaces}, journal = {Journal of Mathematical Study}, year = {2023}, volume = {56}, number = {3}, pages = {309--326}, abstract = {

In this paper, we consider a system of set-valued nonlinear generalized variational inclusion problems (SNGVIP) in $q$-uniformly smooth Banach spaces. We define a class of $H(·,·)$-mixed mappings and its associated class of resolvent operators. Further, using proximal-point mapping method, we suggest an iterative algorithm for finding the solution of the system of set-valued nonlinear generalized variational inclusion problems. Furthermore, we discuss the convergence criteria of the sequences generated by the iterative algorithm.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v56n3.23.04}, url = {http://global-sci.org/intro/article_detail/jms/21875.html} }
TY - JOUR T1 - System of Set-Valued Nonlinear Generalized Variational Inclusion Problems in Banach Spaces AU - Shafi , Sumeera JO - Journal of Mathematical Study VL - 3 SP - 309 EP - 326 PY - 2023 DA - 2023/07 SN - 56 DO - http://doi.org/10.4208/jms.v56n3.23.04 UR - https://global-sci.org/intro/article_detail/jms/21875.html KW - System of set-valued nonlinear generalized variational inclusion problems, $H(·,·)$-mixed mappings, proximal-point mapping, $q$-uniformly smooth Banach spaces, convergence analysis. AB -

In this paper, we consider a system of set-valued nonlinear generalized variational inclusion problems (SNGVIP) in $q$-uniformly smooth Banach spaces. We define a class of $H(·,·)$-mixed mappings and its associated class of resolvent operators. Further, using proximal-point mapping method, we suggest an iterative algorithm for finding the solution of the system of set-valued nonlinear generalized variational inclusion problems. Furthermore, we discuss the convergence criteria of the sequences generated by the iterative algorithm.

Shafi , Sumeera. (2023). System of Set-Valued Nonlinear Generalized Variational Inclusion Problems in Banach Spaces. Journal of Mathematical Study. 56 (3). 309-326. doi:10.4208/jms.v56n3.23.04
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