Results 21 to 30 of about 15,615,826 (78)
Generalized Well‐Posedness for Symmetric Vector Quasi‐Equilibrium Problems
Journal of Applied Mathematics, Volume 2015, Issue 1, 2015., 2015 We introduce and study well‐posedness in connection with the symmetric vector quasi‐equilibrium problem, which unifies its Hadamard and Levitin‐Polyak well‐posedness. Using the nonlinear scalarization function, we give some sufficient conditions to guarantee the existence of well‐posedness for the symmetric vector quasi‐equilibrium problem.
Wei-bing Zhang +3 more
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Levitin‐Polyak Well‐Posedness of an Equilibrium‐Like Problem in Banach Spaces
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 The concept of Levitin‐Polyak well‐posedness of an equilibrium‐like problem in Banach spaces is introduced. Under suitable conditions, some characterizations of its Levitin‐Polyak well‐posedness are established. Some conditions under which an equilibrium‐like problem in Banach spaces is Levitin‐Polyak well‐posed are also derived.
Ru-liang Deng, Qing-bang Zhang
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"Well-posedness, a short survey" [PDF]
, 2007 In this paper we analyze the property of Tykhonov wellposedness in relation to other well-posedness properties which are ordinal and, as stated in the title, we give a survey on some important results on well-posedness in scalar optimization and in ...
FERRENTINO, Rosa
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Existence and Well‐Posedness for Symmetric Vector Quasi‐Equilibrium Problems
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 An existence result for the solution set of symmetric vector quasi‐equilibrium problems that allows for discontinuities is obtained. Moreover, sufficient conditions for the generalized Levitin‐Polyak well‐posedness of symmetric vector quasi‐equilibrium problems are established.
Kaihong Wang +3 more
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Well‐Posedness and Primal‐Dual Analysis of Some Convex Separable Optimization Problems
Advances in Operations Research, Volume 2013, Issue 1, 2013., 2013 We focus on some convex separable optimization problems, considered by the author in previous papers, for which problems, necessary and sufficient conditions or sufficient conditions have been proved, and convergent algorithms of polynomial computational complexity have been proposed for solving these problems.
Stefan M. Stefanov, Hsien-Chung Wu
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A New Notion of Tykhonov Well-Posedness for Optimization Problems
, 2023 Building upon the minimal time function, we propose and study a novel notion of Tykhonov well-posedness with respect to a set of directions for optimization problems. This concept generalizes the classical Tykhonov well-posedness by focusing on existence, stability and convergence along specific directions, rather than over the entire space.
Chen, J. S. +2 more
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Journal 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
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Problems of stability and well-posedness in the calculus of variations and related PDEs [PDF]
, 2022 We present a collection of three closely related topics regarding the stability and well-posedness of minimization problems in the calculus of variations, namely the generic Tykhonov well-posedness with respect to linear perturbations, the generalized ...
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Well‐Posedness of Generalized Vector Quasivariational Inequality Problems
Journal 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
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Journal 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
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