TY - JOUR
ID - 5693
TI - $H(.,.,.,.)$-$\varphi$-$\eta$-cocoercive Operator with an Application to Variational Inclusions
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN - 2008-6822
AU - Ram, Tirth
AU - Iqbal, Mohd
AD - Department of Mathematics, University of Jammu, Jammu-180006, India
Y1 - 2022
PY - 2022
VL - 13
IS - 1
SP - 1311
EP - 1327
KW - Variational-like inclusions
KW - co-corecive operator
KW - Semi-inner product spaces
KW - Resolvent operator
KW - Lipschitz continuity
DO - 10.22075/ijnaa.2021.23245.2506
N2 - In this work, we study generalized $ H(.,.,.,.)$-$\varphi$-$\eta-$ cocoercive operator to find the solution of variational like inclusion involving an infinite family of set-valued mappings in semi-inner product spaces via resolvent equation approach. Furthermore, we established an equivalence between the set-valued variational-like inclusion problem and fixed point problem by employing generalized resolvent operator technique involving generalized $H(.,.,.,.)$-$\varphi$-$\eta$-cocoercive operator. Using the equivalent formulation of set-valued variational-like inclusion problem and resolvent equation problem, an iterative algorithm is developed that approximate the uniqueness of solution of the resolvent equation problem.
UR - https://ijnaa.semnan.ac.ir/article_5693.html
L1 - https://ijnaa.semnan.ac.ir/article_5693_08c18ebff883dd381a74af1baf6d3bfb.pdf
ER -