Search Results - "KASSAY, G"
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1
Brezis pseudomonotone bifunctions and quasi equilibrium problems via penalization
Published in Journal of global optimization (01-03-2022)“…In this paper we investigate quasi equilibrium problems in a real Banach space under the assumption of Brezis pseudomonotonicity of the function involved. To…”
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2
Correction to: Brezis pseudomonotone bifunctions and quasi equilibrium problems via penalization
Published in Journal of global optimization (01-10-2022)“…A Correction to this paper has been published: 10.1007/s10898-021-01088-x…”
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3
Regularization of Brézis pseudomonotone variational inequalities
Published in Set-valued and variational analysis (01-03-2021)“…In this paper we prove the existence of solutions of regularized set-valued variational inequalities involving Brézis pseudomonotone operators in reflexive and…”
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4
Stability of Equilibria via Regularity of the Diagonal Subdifferential Operator
Published in Set-valued and variational analysis (01-12-2017)“…In this paper we investigate the Aubin property of the solution map of a parametric equilibrium problem, by providing a connection with a suitable behaviour of…”
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5
Ekeland’s principle for vector equilibrium problems
Published in Nonlinear analysis (01-04-2007)“…In this paper, the authors deal with bifunctions defined on complete metric spaces and with values in locally convex spaces ordered by closed convex cones. The…”
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6
Linear Openness of the Composition of Set-Valued Maps and Applications to Variational Systems
Published in Set-valued and variational analysis (01-12-2016)“…In this paper we study the linear openness of the composition of set-valued maps carried out thanks to applications of Nadler’s fixed point theorem and Lim’s…”
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7
Stability Results of Variational Systems Under Openness with Respect to Fixed Sets
Published in Journal of optimization theory and applications (01-01-2015)“…In this paper, we present the notions of openness and metric regularity for a set-valued map with respect to two fixed sets, proving their equivalence. By…”
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8
Well-posed equilibrium problems
Published in Nonlinear analysis (2010)“…In this paper we introduce some notions of well-posedness for scalar equilibrium problems in complete metric spaces or in Banach spaces. As equilibrium problem…”
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9
Conditioning for optimization problems under general perturbations
Published in Nonlinear analysis (2012)“…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…”
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10
Well-posedness for vector equilibrium problems
Published in Mathematical methods of operations research (Heidelberg, Germany) (01-08-2009)“…We introduce and study two notions of well-posedness for vector equilibrium problems in topological vector spaces; they arise from the well-posedness concepts…”
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11
On equivalent results in minimax theory
Published in European journal of operational research (16-08-2004)“…In this paper we review known minimax theorems with applications in game theory and show that these theorems can be proved using the first minimax theorem for…”
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12
Strong duality for generalized convex optimization problems
Published in Journal of optimization theory and applications (01-10-2005)“…In this paper, strong duality for nearly-convex optimization problems is established. Three kinds of conjugate dual problems are associated to the primal…”
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13
Existence results for Stampacchia and Minty type implicit variational inequalities with multivalued maps
Published in Nonlinear analysis (15-04-2005)“…Stampacchia and Minty type generalized implicit variational inequality problems are considered. We extended the notion of dense pseudomonotonicity for…”
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14
Lagrangian duality and cone convexlike functions
Published in Journal of optimization theory and applications (01-08-2007)“…In this paper, we consider first the most important classes of cone convexlike vector-valued functions and give a dual characterization for some of these…”
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15
System of multi-valued variational inequalities
Published in Publicationes mathematicae (Debrecen) (01-01-2000)Get full text
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16
Existence of equilibria for multivalued mappings and its application to vectorial equilibria
Published in Journal of optimization theory and applications (01-07-2002)“…In this paper, we apply a new fixed-point theorem and use various monotonicity and some coercivity conditions to establish equilibrium theorems for multimaps…”
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17
The level set method of Joó and its use in minimax theory
Published in Mathematical programming (2006)“…In this paper we discuss the level set method of Joo and how to use it to give an elementary proof of the well-known minimax theorem of Sion. Although this…”
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18
On linear programming duality and necessary and sufficient conditions in minimax theory
Published in Journal of optimization theory and applications (01-03-2007)“…In this paper we discuss necessary and sufficient conditions for different minimax results to hold using only linear programming duality and the finite…”
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19
Theorems of the alternative and optimality conditions for convexlike and general convexlike programming
Published in Journal of optimization theory and applications (01-05-1999)“…A general alternative theorem for convexlike functions is given. This permits the establishment of optimality conditions for convexlike programming problems in…”
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20
Multivalued parametric variational inequalities with α-pseudomonotone maps
Published in Journal of optimization theory and applications (01-10-2000)Get full text
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