A hybrid inertial algorithm for approximating solution of convex feasibility problems with applications

CE Chidume, P Kumam, A Adamu - Fixed Point Theory and Applications, 2020 - Springer
An inertial iterative algorithm for approximating a point in the set of zeros of a maximal
monotone operator which is also a common fixed point of a countable family of relatively …

A Hybrid Iterative Scheme for a Maximal Monotone Operator and Two Countable Families of Relatively QuasiNonexpansive Mappings for Generalized Mixed …

S Saewan, P Kumam - Abstract and Applied Analysis, 2010 - Wiley Online Library
We introduce a new hybrid iterative scheme for finding a common element of the set of
common fixed points of two countable families of relatively quasinonexpansive mappings …

An Inertial Algorithm of Generalized f-Projection for Maximal Monotone Operators and Generalized Mixed Equilibrium Problems in Banach Spaces

L Umar, TM Kabir, IU Haruna - African Scientific Reports, 2022 - asr.nsps.org.ng
In this paper, we study a modified hybrid inertial algorithm of generalized f-projection for
approximating maximal monotone operators and solutions of generalized mixed equilibrium …

Composite algorithms for minimization over the solutions of equilibrium problems and fixed point problems

Y Yao, YC Liou - Abstract and Applied Analysis, 2010 - Wiley Online Library
The purpose of this paper is to solve the minimization problem of finding x∗ such that x∗=
argminx∈ Γ∥ x∥ 2, where Γ stands for the intersection set of the solution set of the …

Convergence theorems for mixed equilibrium problems, variational inequality problem and uniformly quasi-ϕ-asymptotically nonexpansive mappings

S Saewan, P Kumam - Applied Mathematics and Computation, 2011 - Elsevier
We introduce a modified block hybrid projection algorithm for finding a common element of
the set of common fixed points of an infinite family of closed and uniformly quasi-ϕ …

New construction and proof techniques of projection algorithm for countable maximal monotone mappings and weakly relatively non-expansive mappings in a Banach …

L Wei, RP Agarwal - Journal of inequalities and applications, 2018 - Springer
In a real uniformly convex and uniformly smooth Banach space, some new monotone
projection iterative algorithms for countable maximal monotone mappings and countable …

Simple form of a projection set in hybrid iterative schemes for non-linear mappings, application of inequalities and computational experiments

L Wei, RP Agarwal - Journal of inequalities and applications, 2018 - Springer
Some relaxed hybrid iterative schemes for approximating a common element of the sets of
zeros of infinite maximal monotone operators and the sets of fixed points of infinite weakly …

Strong convergence for maximal monotone operators, relatively quasi-nonexpansive mappings, variational inequalities and equilibrium problems

S Saewan, P Kumam, YJ Cho - Journal of Global Optimization, 2013 - Springer
In this paper, we introduce a new hybrid iterative scheme for finding a common element of
the set of zeroes of a maximal monotone operator, the set of fixed points of a relatively quasi …

A hybrid inertial iterative method for fixed point problems and finite families of generalized equilibrium problems with applications

L Umar - Mathematical Analysis and its Contemporary …, 2024 - macajournal.com
We propose a hybrid inertial iterative method for finding a common element of fixed points of
a family of a general class of nonlinear nonexpansive mappings and a common solution of a …

Convergence theorems for uniformly quasi-ϕ-asymptotically nonexpansive mappings, generalized equilibrium problems, and variational inequalities

S Saewan, P Kumam - Journal of Inequalities and Applications, 2011 - Springer
In this article, we introduce an iterative algorithm for finding a common element of the set of
common fixed points of an infinite family of closed and uniformly quasi-ϕ-asymptotically …