Please use this identifier to cite or link to this item: http://localhost:8080/xmlui/handle/123456789/276
Title: Convergence Analysis of Quasi-Variational Inclusion and Fixed Point Problems of Finite Family of Certain Nonlinear Mappings in Hilbert Spaces
Authors: Abass, H. A
Mebawondu, A. A
Mewomo, O. T
Keywords: quasi-variational inclusion problem; quasi-nonexpansive mapping; demimetric mapping; Halpern iterative algorithm; fixed point problem
Issue Date: 2020
Publisher: Thai Journal of Mathematics.
Citation: Abass, Hammed & Mebawondu, Akindele & Mewomo, Oluwatosin. (2020). Convergence analysis of quasi-variational inclusion and fixed point problems of finite family of certain nonlinear mappings in Hilbert spaces.. Thai Journal of Mathematics.
Series/Report no.: 18;3
Abstract: The purpose of this paper is to present a modified Halpern iterative algorithm for finding a common solution of quasi-variational inclusion problem and fixed point problem of a finite family of demimetric mappings and quasi-nonexpansive mapping in the framework of real Hilbert spaces. Using our iterative algorithm, we state and prove a strong convergence theorem for approximating the solution of the aforementioned problems. We give some consequences of our main result, present an application to variational inequality problem and dispaly numerical example to show the behaviour of our result. Our result complements and extends some related results in literature.
URI: http://localhost:8080/xmlui/handle/123456789/276
Appears in Collections:Mathematics

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