[PDF][PDF] Well-posedness of hemivariational inequalities and inclusion problems

Y Xiao, N Huang, MM Wong - Taiwanese Journal of Mathematics, 2011 - projecteuclid.org
In the present paper, we generalize the concept of well-posedness to a hemivariational
inequality, give some metric characterizations of the wellposed hemivariational inequality …

Noncoercive variational–hemivariational inequalities: existence, approximation by double regularization, and application to nonmonotone contact problems

O Chadli, J Gwinner, MZ Nashed - Journal of Optimization Theory and …, 2022 - Springer
We study noncoercive nonlinear variational–hemivariational inequalities that encompass
semicoercive nonlinear monotone variational inequalities and pseudomonotone variational …

On vector quasi-equilibrium problems via a Browder-type fixed-point theorem

A Capătă - Bulletin of the Malaysian Mathematical Sciences …, 2023 - Springer
This paper aims to provide new sufficient conditions for the existence of solutions to a vector
quasi-equilibrium problem with set-valued mappings. Using a very recent Browder-type …

A note on D-gap functions for equilibrium problems

C Charitha - Optimization, 2013 - Taylor & Francis
The equilibrium problem (EP) can be formulated as an unconstrained minimization problem
through the D-gap function. We present a descent type algorithm for solving EP based on …

On Semicoercive Variational-Hemivariational Inequalities—Existence, Approximation, and Regularization

O Chadli, J Gwinner, N Ovcharova - Vietnam Journal of Mathematics, 2018 - Springer
In this paper, we are concerned with semicoercive variational-hemivariational inequalities
that encompass nonlinear semicoercive monotone variational inequalities (VIs) and …

[PDF][PDF] A shrinking projection method for generalized mixed equilibrium problems, variational inclusion problems and a finite family of quasi-nonexpansive mappings

W Kumam, C Jaiboon, P Kumam, A Singta - Journal of Inequalities and …, 2010 - Springer
The purpose of this paper is to consider a shrinking projection method for finding a common
element of the set of solutions of generalized mixed equilibrium problems, the set of fixed …

Semicoercive variational inequalities: from existence to numerical solution of nonmonotone contact problems

N Ovcharova, J Gwinner - Journal of Optimization Theory and Applications, 2016 - Springer
In this paper, we present a novel numerical solution procedure for semicoercive
hemivariational inequalities. As a concrete example, we consider a unilateral semicoercive …

An extension of a generalized equilibrium problem

S Kum, MM Wong - Taiwanese Journal of Mathematics, 2011 - projecteuclid.org
In this note, we consider a multi-valued version of a generalized system (GS) called the multi-
valued generalized system (MGS). Using the Fan-Browder fixed point theorem and …

Existence results for proper efficient solutions of vector equilibrium problems and applications

A Capătă - Journal of Global Optimization, 2011 - Springer
In this paper, we present sufficient conditions for the existence of Henig efficient solutions,
superefficient solutions and Henig globally efficient solutions of a vector equilibrium problem …

[PDF][PDF] Error bounds of regularized gap functions for nonmonotone Ky Fan inequalities

MH Li, CR Chen, SJ Li - J. Ind. Manag. Optim, 2020 - researchgate.net
In this paper, the Clarke generalized Jacobian of the generalized regularized gap function
for a nonmonotone Ky Fan inequality is studied. Then, based on the Clarke generalized …