Results 21 to 30 of about 71 (52)

Metric Characterizations of α‐Well‐Posedness for a System of Mixed Quasivariational‐Like Inequalities in Banach Spaces

open access: yesJournal of Applied Mathematics, Volume 2012, Issue 1, 2012., 2012
The purpose of this paper is to investigate the problems of the well‐posedness for a system of mixed quasivariational‐like inequalities in Banach spaces. First, we generalize the concept of α‐well‐posedness to the system of mixed quasivariational‐like inequalities, which includes symmetric quasi‐equilibrium problems as a special case.
L. C. Ceng, Y. C. Lin, Yonghong Yao
wiley   +1 more source

Well‐Posedness of Generalized Vector Quasivariational Inequality Problems

open access: yesJournal of Applied Mathematics, Volume 2012, Issue 1, 2012., 2012
We introduce several types of the Levitin‐Polyak well‐posedness for a generalized vector quasivariational inequality problem with both abstract set constraints and functional constraints. Criteria and characterizations of these types of the Levitin‐Polyak well‐posednesses with or without gap functions of generalized vector quasivariational inequality ...
Jian-Wen Peng   +2 more
wiley   +1 more source

Well‐Posedness for a Class of Strongly Mixed Variational‐Hemivariational Inequalities with Perturbations

open access: yesJournal of Applied Mathematics, Volume 2012, Issue 1, 2012., 2012
The concept of well‐posedness for a minimization problem is extended to develop the concept of well‐posedness for a class of strongly mixed variational‐hemivariational inequalities with perturbations which includes as a special case the class of variational‐hemivariational inequalities with perturbations.
Lu-Chuan Ceng   +3 more
wiley   +1 more source

Well‐Posedness by Perturbations for Variational‐Hemivariational Inequalities

open access: yesJournal of Applied Mathematics, Volume 2012, Issue 1, 2012., 2012
We generalize the concept of well‐posedness by perturbations for optimization problem to a class of variational‐hemivariational inequalities. We establish some metric characterizations of the well‐posedness by perturbations for the variational‐hemivariational inequality and prove their equivalence between the well‐posedness by perturbations for the ...
Shu Lv   +4 more
wiley   +1 more source

α‐Well‐Posedness for Mixed Quasi Variational‐Like Inequality Problems

open access: yesAbstract and Applied Analysis, Volume 2011, Issue 1, 2011., 2011
The concepts of α‐well‐posedness, α‐well‐posedness in the generalized sense, L‐α‐well‐posedness and L‐α‐well‐posedness in the generalized sense for mixed quasi variational‐like inequality problems are investigated. We present some metric characterizations for these well‐posednesses.
Jian-Wen Peng, Jing Tang, V. Zeidan
wiley   +1 more source

Generic well‐posedness in minimization problems

open access: yesAbstract and Applied Analysis, Volume 2005, Issue 4, Page 343-360, 2005., 2005
The goal of this paper is to provide an overview of results concerning, roughly speaking, the following issue: given a (topologized) class of minimum problems, “how many” of them are well‐posed? We will consider several ways to define the concept of “how many,” and also several types of well‐posedness concepts.
A. Ioffe, R. E. Lucchetti
wiley   +1 more source

Bregman distances, totally convex functions, and a method for solving operator equations in Banach spaces

open access: yes, 2006
Abstract and Applied Analysis, Volume 2006, Issue 1, 2006.
Dan Butnariu, Elena Resmerita
wiley   +1 more source

Tykhonov well-posedness of elliptic variational-hemivariational inequalities

open access: yesElectronic Journal of Differential Equations, 2019
We consider a class of elliptic variational-hemivariational inequalities in an abstract Banach space for which we introduce the concept of well-posedness in the sense of Tykhonov.
Mircea Sofonea, Yi-Bin Xiao
doaj  

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