Strong convergence of a new generalized viscosity implicit rule and some applications in Hilbert space

M Postolache, A Nandal, R Chugh - Mathematics, 2019 - mdpi.com
In this paper, based on the very recent work by Nandal et al.(Nandal, A.; Chugh, R.;
Postolache, M. Iteration process for fixed point problems and zeros of maximal monotone …

Viscosity iterative schemes for finding split common solutions of variational inequalities and fixed point problems

Z He, WS Du - Abstract and Applied Analysis, 2012 - Wiley Online Library
We introduce some new iterative schemes based on viscosity approximation method for
finding a split common element of the solution set of a pair of simultaneous variational …

Hybrid extragradient viscosity method for general system of variational inequalities

LC Ceng, YC Liou, CF Wen, YJ Wu - Journal of Inequalities and …, 2015 - Springer
In this paper, we introduce a hybrid extragradient viscosity iterative algorithm for finding a
common element of the set of solutions of a general mixed equilibrium problem, the set of …

Inertial shrinking projection algorithm with self-adaptive step size for split generalized equilibrium and fixed point problems for a countable family of nonexpansive …

MA Olona, TO Alakoya, AOE Owolabi… - Demonstratio …, 2021 - degruyter.com
In this paper, we introduce a shrinking projection method of an inertial type with self-
adaptive step size for finding a common element of the set of solutions of a split generalized …

A new general system of variational inequalities for convergence theorem and application

K Siriyan, A Kangtunyakarn - Numerical Algorithms, 2019 - Springer
In this present paper, we propose a modified form of generalized system of variational
inequalities and introduce an iterative scheme for finding a common element of the set of …

A new viscosity-type iteration for a finite family of split variational inclusion and fixed point problems between Hilbert and Banach spaces

C Izuchukwu, FO Isiogugu, CC Okeke - Journal of Inequalities and …, 2019 - Springer
In this paper, we introduce a new viscosity-type iteration process for approximating a
common solution of a finite family of split variational inclusion problem and fixed point …

A strong convergence theorem for split mixed equilibrium and fixed point problems for nonexpansive mappings

SH Rizvi - Journal of Fixed Point Theory and Applications, 2018 - Springer
The aim of this work is twofold; first, to give an extension to split mixed equilibrium problem.
Secondly, we suggest and analyze an iterative method based on Mann iterative method and …

A viscosity iterative technique for split variational inclusion and fixed point problems between a Hilbert space and a Banach space

C Izuchukwu, CC Okeke, FO Isiogugu - Journal of Fixed Point Theory and …, 2018 - Springer
The main purpose of this paper is to introduce a viscosity-type iterative algorithm for
approximating a common solution of a split variational inclusion problem and a fixed point …

General iterative algorithms approachto variational inequalities and minimum-norm fixed point for minimization and split feasibility problems

P Sunthrayuth, YJ Cho, P Kumam - Opsearch, 2014 - Springer
In this paper, we introduce general iterative algorithms for finding a fixed point of a
nonexpansive mapping T, which is a unique solution of some variational inequalities. Also …

An algorithm for split equilibrium and fixed-point problems using inertial extragradient techniques

JN Ezeora, CD Enyi, FO Nwawuru… - … and Applied Mathematics, 2023 - Springer
We study in this article, split equilibrium fixed-point problems involving pseudomonotone
bifunctions which satisfy Lipschitz-type continuous condition and nonexpansive mappings …