Results 51 to 60 of about 249 (86)

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

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

Twelve monotonicity conditions arising from algorithms for equilibrium problems [PDF]

, 2015
In the last years many solution methods for equilibrium problems (EPs) have been developed. Several different monotonicity conditions have been exploited to prove convergence.
BIGI, GIANCARLO, PASSACANTANDO, MAURO
core   +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

First Order Characterizations of Pseudoconvex Functions [PDF]

, 2001
First order characterizations of pseudoconvex functions are investigated in terms of generalized directional derivatives. A connection with the invexity is analysed.
Ivanov, Vsevolod
core   +1 more source

Auxiliary problem principles for equilibria [PDF]

, 2016
The auxiliary problem principle allows solving a given equilibrium problem (EP) through an equivalent auxiliary problem with better properties.
BIGI, GIANCARLO, PASSACANTANDO, MAURO
core   +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

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

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

Characterizations of $alpha$-well-posedness for parametric quasivariational inequalities defined by bifunctions [PDF]

, 2010
The purpose of this paper is to investigate the well-posedness issue of parametric quasivariational inequalities defined by bifunctions. We generalize the concept of $alpha$-well-posedness to parametric quasivariational inequalities having a unique ...
Nan-Jing Huang, Rong Hu, Ya-Ping Fang
core   +1 more source