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Showing 2 results for Variational Inequality
Variational Inequalities on 2-Inner Product Spaces
Hedayat Fathi, Seyed Alireza Hosseinioun,
Volume 1, Issue 2 (12-2020)
Abstract
We introduce variational inequality problems on 2-inner product spaces and prove several existence results for variational inequalities defined on closed convex sets. Also, the relation between variational inequality problems, best approximation problems and fixed point theory is studied.
On Fixed Point Results for Finite Families of Alpha-Hemicontractive Mappings, Variationa lnequality Problems and Split Equilibrium Problems
Dr. Imo Agwu, Prof. Donatus Igbokwe,
Volume 4, Issue 1 (6-2023)
Abstract
ln this paper, we introduce an iterative scheme for approximating a common element of the fixed point sets of a finite family of a multivalued -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 convergence 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.
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