Results 51 to 60 of about 1,027 (114)

Hybrid projected subgradient-proximal algorithms for solving split equilibrium problems and split common fixed point problems of nonexpansive mappings in Hilbert spaces

Fixed Point Theory and Applications, 2018
In this paper, we propose two strongly convergent algorithms which combines diagonal subgradient method, projection method and proximal method to solve split equilibrium problems and split common fixed point problems of nonexpansive mappings in a real ...
Anteneh Getachew Gebrie, Rabian Wangkeeree   +1 more
doaj   +1 more source

Existence Solutions of Vector Equilibrium Problems and Fixed Point of Multivalued Mappings

Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013
Let K be a nonempty compact convex subset of a topological vector space. In this paper‐sufficient conditions are given for the existence of x ∈ K such that F(T)∩VEP(F) ≠ ∅, where F(T) is the set of all fixed points of the multivalued mapping T and VEP(F) is the set of all solutions for vector equilibrium problem of the vector‐valued mapping F.
Kanokwan Sitthithakerngkiet, Somyot Plubtieng, Qamrul Hasan Ansari   +2 more
wiley   +1 more source

A New Iterative Scheme for Solving the Equilibrium Problems, Variational Inequality Problems, and Fixed Point Problems in Hilbert Spaces

Journal of Applied Mathematics, Volume 2012, Issue 1, 2012., 2012
We introduce the new iterative methods for finding a common solution set of monotone, Lipschitz‐type continuous equilibrium problems and the set of fixed point of nonexpansive mappings which is a unique solution of some variational inequality. We prove the strong convergence theorems of such iterative scheme in a real Hilbert space.
Rabian Wangkeeree, Pakkapon Preechasilp, Zhenyu Huang   +2 more
wiley   +1 more source

Variational‐Like Inequalities and Equilibrium Problems with Generalized Monotonicity in Banach Spaces

Advances in Operations Research, Volume 2012, Issue 1, 2012., 2012
We introduce the notion of relaxed (ρ‐θ)‐η‐invariant pseudomonotone mappings, which is weaker than invariant pseudomonotone maps. Using the KKM technique, we establish the existence of solutions for variational‐like inequality problems with relaxed (ρ‐θ)‐η‐invariant pseudomonotone mappings in reflexive Banach spaces. We also introduce the concept of (ρ‐
N. K. Mahato, C. Nahak, Abdellah Bnouhachem   +2 more
wiley   +1 more source

On Generalized Strongly Convex Functions Involving Bifunction [PDF]

, 2019
In this paper, we define and introduce some new concepts of the generalized strongly convex functions and generalized strongly monotone operators with respect to an arbitrary non-negative bifunction.
Aslam Noor, Muhammad, Inayat Noor, Khalida   +1 more
core   +1 more source

On Strengthened Extragradient Methods Non-Convex Combination with Adaptive Step Sizes Rule for Equilibrium Problems

, 2022
Symmetries play a vital role in the study of physical phenomena in diverse areas such as dynamic systems, optimization, physics, scientific computing, engineering, mathematical biology, chemistry, and medicine, to mention a few.
Wiyada Kumam, Habib ur Rehman, Kamonrat Sombut, Meshal Shutaywi   +3 more
core   +1 more source

Closedness of the solution map in quasivariational inequalities of Ky Fan type

, 2013
This paper is mainly concerned with the stability analysis of the set-valued solution mapping for a parametric quasivariational inequality of Ky Fan type.
GIULI, MASSIMILIANO
core   +1 more source

An inertial viscosity algorithm for equilibrium problems with application to signal restoration

Journal of Inequalities and Applications
In this article, we propose an improved viscosity algorithm for solving pseudomonotone equilibrium problems. A strong convergence theorem is established under certain conditions on the bifunction, along with suitable assumptions on the initial parameters
Sujitha Pushparaj, Nathiya N, Pulak Konar   +2 more
doaj   +1 more source

Vector Equilibrium Problems with Generalized Monotone Bifunctions

, 1997
A vector equilibrium problem is defined as follows: given a closed convex subset K of a real topological Hausdorff vector space and a bifunction F(x, y) valued in a real ordered locally convex vector space, find x*∈K such that F(x*, y)
Bianchi M.
core   +1 more source

A New Extragradient Method for Strongly Pseudomonotone Variational Inequalities [PDF]

, 2016
This article proposes a new extragradient solution method for strongly pseudomonotone variational inequalities. A detailed analysis of the iterative sequences' convergence and of the range of applicability of the method is provided.
Khanh, Pham Duy
core   +1 more source