TY - JOUR
T1 - Iterating a System of Variational-like Inclusion Problems in Banach Spaces
AU - Shafi , Sumeera
AU - Mishra , Lakshmi Narayan
JO - Journal of Nonlinear Modeling and Analysis
VL - 2
SP - 283
EP - 300
PY - 2021
DA - 2021/04
SN - 3
DO - http://doi.org/10.12150/jnma.2021.283
UR - https://global-sci.org/intro/article_detail/jnma/18791.html
KW - System of variational-like inclusion problems, $(H,\varphi)-\eta$-monotone
mappings, Resolvent operator, Cocoercive mappings, Banach spaces.
AB - <p style="text-align: justify;">In this manuscript, by using $(H,\varphi)-\eta$-monotone operators we study the existence of solution of a system of variational-like inclusion problems in Banach spaces. Further, we suggest an iterative algorithm for finding the approximate solution of this system and discuss the convergence criteria of the sequences generated by the iterative algorithm. The method used in this paper can be considered as an extension of methods for studying the existence of solution for various classes of variational inclusions considered and studied by many authors in Banach spaces.</p>