RESULTS IN MATHEMATICS, vol.77, no.3, 2022 (Journal Indexed in SCI)
Article / Article
RESULTS IN MATHEMATICS
Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
Variational inequality, iterative methods, nonexpansive mapping, convergence analysis, multivalued mappings, CAT(0) spaces, Delta-convergence, FIXED-POINT, CONVERGENCE, THEOREMS, MANN
Yıldız Technical University Affiliated:
In this paper, we introduce a new type of variational inequality problem (VIP) involving nonself multivalued mappings in CAT(0) spaces. We show that this VIP problem admit a solution under suitable conditions. We also perform the convergence analysis of introduced VIP via proximal multivalued Picard-S iteration. We finish our paper with some convergence theorems for new iteration scheme and system of variational inequalities associated with finite family of nonself multivalued nonexpansive mappings.