[LIBRO][B] Some geometric properties of Banach spaces

C Chidume - 2009 - Springer
In the first part of this monograph (Chapters 1 to 5), we explore selected geometric
properties of Banach spaces that will play crucial roles in our study of iterative algorithms for …

Equilibrium problems in Hadamard manifolds

V Colao, G López, G Marino… - Journal of Mathematical …, 2012 - Elsevier
An equilibrium theory is developed in Hadamard manifolds. The existence of equilibrium
points for a bifunction is proved under suitable conditions, and applications to variational …

Strong convergence for monotone bilevel equilibria with constraints of variational inequalities and fixed points using subgradient extragradient implicit rule

L He, YL Cui, LC Ceng, TY Zhao, DQ Wang… - Journal of Inequalities …, 2021 - Springer
In a real Hilbert space, let GSVI and CFPP represent a general system of variational
inequalities and a common fixed point problem of a countable family of nonexpansive …

Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-ϕ-nonexpansive map**s

JK Kim - Fixed Point Theory and Applications, 2011 - Springer
We consider a hybrid projection method for finding a common element in the fixed point set
of an asymptotically quasi-ϕ-nonexpansive map** and in the solution set of an …

[PDF][PDF] A hybrid projection algorithm for finding solutions of mixed equilibrium problem and variational inequality problem

F Cianciaruso, G Marino, L Muglia, Y Yao - Fixed Point Theory and …, 2009 - Springer
We propose a modified hybrid projection algorithm to approximate a common fixed point of a-
strict pseudocontraction and of two sequences of nonexpansive map**s. We prove a …

Viscosity approximation methods for generalized equilibrium problems and fixed point problems with applications

X Qin, YJ Cho, SM Kang - Nonlinear Analysis: Theory, Methods & …, 2010 - Elsevier
In this paper, we introduce a general iterative scheme for finding a common element of the
set of common solutions of generalized equilibrium problems, the set of common fixed points …

Iterative methods for generalized equilibrium problems and fixed point problems with applications

X Qin, S Chang, YJ Cho - Nonlinear Analysis: Real World Applications, 2010 - Elsevier
In this paper, we consider an iterative method for finding a common element of the set of a
generalized equilibrium problem, of the set of solutions to a system of variational inequalities …

[HTML][HTML] Strong convergence theorems of iterative scheme based on the extragradient method for mixed equilibrium problems and fixed point problems

JW Peng, JC Yao - Mathematical and Computer modelling, 2009 - Elsevier
In this paper, a new iterative scheme based on the extragradient method for finding a
common element of the set of solutions of a mixed equilibrium problem, the set of fixed …

A projected subgradient algorithm for bilevel equilibrium problems and applications

LQ Thuy, TN Hai - Journal of Optimization Theory and Applications, 2017 - Springer
In this paper, we propose a new algorithm for solving a bilevel equilibrium problem in a real
Hilbert space. In contrast to most other projection-type algorithms, which require to solve …

A relaxed projection method for split variational inequalities

H He, C Ling, HK Xu - Journal of Optimization Theory and Applications, 2015 - Springer
We study the recently introduced split variational inequality under the framework of
variational inequalities in a product space. The feature of our equivalent formulation of split …