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 - <p style="text-align: justify;">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.</p>