ON FIXED POINT RESULTS FOR FINITE FAMILIES OF-HEMICONTRACTIVE MAPPINGS, VARIATIONA LNEQUALITY PROBLEMS AND SPLIT EQUILIBRIUM PROBLEMS

Document Type : Original Article

Authors
Imo Agwu
DONATUS IKECHI IGBOKWE
.
10.22034/maco.4.1.11
Abstract
ln this paper, we introduce an iterative scheme for approximating a common el-ement of the fixed point sets of a finite family of a multivalued α-hemicontractive mappings, the set of solutions of a finite family of variational inequality problems and the set of solutions of a finite family of equilibrium problems. Using our scheme, we establish strong conver-gence theorems of the aforementioned problems in the framework of real Hilbert spaces. Our results improve, extend, generalise and unify many recent results in this direction.
Keywords
Split equilibrium problem
variational inequality problem
α-hemicontractive mapping
iterative approximation
strong convergence
fixed point
finite family
Hilbertspace
Mathematical Analysis and Convex Optimization
Volume 4, Issue 1
June 2023
Pages 131-153