Existence and convergence theorem for fixed point problem of various nonlinear mappings and variational inequality problems without some assumptions

Khuangsatung, Wongvisarut; Kangtunyakarn, Atid

doi:10.2298/FIL1801305K

Existence and convergence theorem for fixed point problem of various nonlinear mappings and variational inequality problems without some assumptions

Author(s)

Khuangsatung, Wongvisarut

Kangtunyakarn, Atid

Date Issued

January 1, 2018

Type

Article

DOI

10.2298/FIL1801305K

Abstract

The purpose of this article, we give a necessary and sufficient condition for the modified Mann iterative process in order to obtain a strong convergence theorem for finding a common element of the set of fixed point of a finite family of nonexpansive mappings and variational inequality problem in Hilbert space without the conditions (Formula presented). Moreover, we utilize our main result to fixed point problems of strictly pseudocontractive mappings and the set of solutions of variational inequality problem.

Citation

Filomat, 32(1), 305-309, 2018

Subjects

Fixed point problem

Nonexpansive mappin

Variational inequalit...