Results 51 to 60 of about 115 (92)

Mixed Equilibrium Problems with Weakly Relaxed α‐Monotone Bifunction in Banach Spaces

Journal of Function Spaces, Volume 2013, Issue 1, 2013., 2013
We introduce the class of mixed equilibrium problems with the weakly relaxed α‐monotone bi‐function in Banach spaces. Using the KKM technique, we obtain the existence of solutions for mixed equilibrium problem with weakly relaxed α‐monotone bi‐function in Banach spaces. The results presented in this paper extend and improve the corresponding results in
Wutiphol Sintunavarat, Sompong Dhompongsa   +1 more
wiley   +1 more source

An Inertial Subgradient Extragradient Method for Efficiently Solving Fixed-Point and Equilibrium Problems in Infinite Families of Demimetric Mappings

Mathematics
The primary objective of this article is to enhance the convergence rate of the extragradient method through the careful selection of inertial parameters and the design of a self-adaptive stepsize scheme.
Habib ur Rehman, Fouzia Amir, Jehad Alzabut, Mohammad Athar Azim   +3 more
doaj   +1 more source

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 Results for Nonsmooth Vector Quasi‐Variational‐Like Inequalities

Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013
We introduce nonsmooth vector quasi‐variational‐like inequalities (NVQVLI) by means of a bifunction. We establish some existence results for solutions of these inequalities by using Fan‐KKM theorem and a maximal element theorem. By using the technique and methodology adopted in Al‐Homidan et al.
Mohammed Alshahrani, Qamrul Hasan Ansari, Suliman Al-Homidan, Jen-Chih Yao   +3 more
wiley   +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

Pseudomonotone diagonal subdifferential operators [PDF]

, 2013
Let f be an equilibrium bifunction defined on the product space X x X, where X is a Banach space. If f is locally Lipschitz with respect to the second variable, for every x in X we define T_f(x) as the Clarke subdifferential of f(x,\\cdot) evaluated at x.
GIULI, MASSIMILIANO, CASTELLANI, MARCO
core  

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

Strong convergence of a Bregman projection method for the solution of pseudomonotone equilibrium problems in Banach spaces [PDF]

In this paper, we introduce an inertial self-adaptive projection method using Bregman distance techniques for solving pseudomonotone equilibrium problems in reflexive Banach spaces. The algorithm requires only one projection onto the feasible set without
Jolaoso, Lateef Olakunle, Oyewole, Olawale Kazeem, Aremu, Kazeem Olalekan   +2 more
core   +1 more source

Regularized adaptive extra-proximal algorithm for equilibrium problem in hadamard spaces [PDF]

, 2011
Одним із напрямків сучасного прикладного нелінійного аналізу, що інтенсивно розвивається, є дослідження задач про рівновагу, відомих як нерівності Кі Фаня, задачі рівноважного програмування.
Ведель, Я.И., Семенов, В.В., Денисов, С.В.   +2 more
core   +1 more source