Search Results - perturbation theory of optimization problems in Banach spaces

A Generalization of Hoffman’s Lemma in Banach Spaces and Applications by Huy, Nguyen Quang, Tuan, Hoang Ngoc, Yen, Nguyen Dong

“… (Perturbation analysis of optimization problems, Springer, Berlin, 2000), which deals with generalized polyhedral convex multifunctions, is obtained in this paper…”
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Well-posedness by perturbations of mixed variational inequalities in Banach spaces by Fang, Ya-Ping, Huang, Nan-Jing, Yao, Jen-Chih

“…In this paper, we consider an extension of the notion of well-posedness by perturbations, introduced by Zolezzi for a minimization problem, to a mixed variational inequality problem in a Banach space…”
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Robust Constrained Best Approximation in Banach Spaces by Salkhordeh, S., Mohebi, H.

“…The theory of constrained best approximation in Banach spaces has been systematically developed well over a decade and effective characterizations of best approximations have been known…”
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Mixed Equilibrium Problems and Anti-periodic Solutions for Nonlinear Evolution Equations by Chadli, Ouayl, Ansari, Qamrul Hasan, Yao, Jen-Chih

“…By using some new developments in the theory of equilibrium problems, we study the existence of anti-periodic solutions for nonlinear evolution equations associated with time-dependent pseudomonotone…”
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Well-posedness and stability of a class of linear systems by El Gantouh, Yassine

“… These criteria are based on an inverse estimate with respect to the Hille–Yosida Theorem. Indeed, we establish a generation result for perturbed positive operator semigroups, namely, for positive unbounded boundary perturbations…”
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Coupled Variational Inequalities: Existence, Stability and Optimal Control by Liu, Jinjie, Yang, Xinmin, Zeng, Shengda, Zhao, Yong

“…In this paper, we introduce and investigate a new kind of coupled systems, called coupled variational inequalities, which consist of two elliptic mixed variational inequalities on Banach spaces…”
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Conditioning for optimization problems under general perturbations by Bianchi, M., Kassay, G., Pini, R.

“…Given a function f ∈ C 1 , 1 ( B ( 0 , r ) ) , where B ( 0 , r ) denotes a ball of radius r in a real Banach space E , we provide the definition of a positive extended real number c ˆ ( f…”
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A Class of Multivalued Quasi-Variational Inequalities with Applications by Migórski, Stanislaw, Bai, Yunru, Dudek, Sylwia

“… First, we prove that the set of weak solutions of the inequality is nonempty, weakly compact and upper semicontinuous with respect to perturbations in the data…”
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Levitin–Polyak well-posedness by perturbations for systems of set-valued vector quasi-equilibrium problems by Chen, Jia-Wei, Wan, Zhongping, Cho, Yeol Je

“…This paper is devoted to the Levitin–Polyak well-posedness by perturbations for a class of general systems of set-valued vector quasi-equilibrium problems (SSVQEP…”
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Existence of Solutions for Noncoercive Hemivariational Inequalities by an Equilibrium Approach Under Pseudomonotone Perturbation by Lahmdani, A., Chadli, O., Yao, J. C.

“… The approach adopted is an equilibrium problem formulation associated with a maximal monotone bifunction with pseudomonotone perturbation…”
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An Extension of the Kaliszewski Cone to Non-polyhedral Pointed Cones in Infinite-Dimensional Spaces by Huerga, Lidia, Jadamba, Baasansuren, Sama, Miguel

“… ) from polyhedral pointed cones in finite-dimensional spaces to a general family of closed, convex, and pointed cones in infinite-dimensional spaces, which in particular covers all separable Banach spaces…”
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Multidomain Optimal Control of Variational Subpotential Mixed Evolution Inclusions by Alduncin, Gonzalo

“…Multidomain variational optimal control of evolution mixed subpotential inclusions, are formulated and analyzed, on the basis of a perturbation conjugate duality convex analysis theory developed by the author…”
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Radius theorems for subregularity in infinite dimensions by Gfrerer, Helmut, Kruger, Alexander Y.

“… in Set-Valued Var Anal 28:451–473, 2020) to general Banach/Asplund spaces and to other classes of perturbations, and sharpen the coderivative tools used in the analysis of the robustness of well-posedness of mathematical problems…”
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Halpern’s type iterations with perturbations in Hilbert spaces: equilibrium solutions and fixed points by Chuang, Chih-Sheng, Lin, Lai-Jiu, Takahashi, Wataru

“… of fixed points for a quasi-nonexpansive mapping with perturbation in a Hilbert space and then prove…”
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Lipschitz behavior of solutions to nonconvex semi-infinite vector optimization problems by Huy, N. Q., Kim, D. S.

“… maps in parametric nonconvex semi-infinite vector optimization problems (SIVO for brevity). We establish sufficient conditions for the Aubin Lipschitz-like property…”
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Existence and Relaxation Results for Second Order Multivalued Systems by Papageorgiou, Nikolaos S., Vetro, Calogero

“… ) and of a multivalued perturbation F ( t , x , y ) which can be convex or nonconvex valued…”
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Variational Methods for Equilibrium Problems Applied to Electricity Markets by De Giuli, Maria Elena, Milasi, Monica, Oggioni, Giorgia, Scopelliti, Domenico

“…This paper focuses on the study of an economic equilibrium problem for an electricity market model in a multistage-stochastic framework, where,stage by stage, the uncertainty evolves with continuity…”
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Asymptotic behavior of semi-quasivariational optimistic bilevel problems in Banach spaces by Lignola, M. Beatrice, Morgan, Jacqueline

“…The great interest into hierarchical optimization problems and the increasing use of game theory in many economic or engineering applications led to investigate scalar bilevel problems in which the…”
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On compact KB operators in Banach lattices: On compact KB operators in Banach lattices by Emelyanov, Eduard

“…We study norm completeness and the domination problem for KB operators, and show that compact KB operators are not necessarily stable under rank one perturbations…”
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Optimal Control of Evolution Mixed Variational Inclusions by Alduncin, Gonzalo

“…Optimal control problems of primal and dual evolution mixed variational inclusions, in reflexive Banach spaces, are studied…”
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