@Article{JMS-56-3, author = {Sumeera, Shafi}, 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 = {https://global-sci.com/article/87628/system-of-set-valued-nonlinear-generalized-variational-inclusion-problems-in-banach-spaces} }