Results 21 to 30 of about 7,261,562 (300)
On the positive linear set valued maps [PDF]
Miskolc Mathematical Notes, 2013 In this paper positive linear set valued maps defined on the cone are studied. The representation theorem for positive linear set valued maps is given and Lipschitz continuity of these maps is proved. The estimations of upper and lower norms of the positive linear set valued maps are obtained.
Huseyin, Anar, Huseyin, Nesir
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ϵ-Henig Saddle Points and Duality of Set-Valued Optimization Problems in Real Linear Spaces
The Scientific World Journal, 2013 We study ϵ-Henig saddle points and duality of set-valued optimization problems in the setting of real linear spaces. Firstly, an equivalent characterization of ϵ-Henig saddle point of the Lagrangian set-valued map is obtained.
Zhi-Ang Zhou
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On Constrained Set-Valued Semi-Infinite Programming Problems with ρ-Cone Arcwise Connectedness
Axioms, 2021 In this paper, we establish sufficient Karush–Kuhn–Tucker (for short, KKT) conditions of a set-valued semi-infinite programming problem (SP) via the notion of contingent epiderivative of set-valued maps. We also derive duality results of Mond–Weir (MWD),
Koushik Das, Savin Treanţă
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Abstract and Applied Analysis, 2013 A new notion of the ic-cone convexlike set-valued map characterized by the algebraic interior and the vector closure is introduced in real ordered linear spaces.
Zhi-Ang Zhou
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Fixed Point Theorems for Set-Valued Contraction Type Maps in Metric Spaces
Fixed Point Theory and Applications, 2010 We first give some fixed point results for set-valued self-map contractions in complete metric spaces. Then we derive a fixed point theorem for nonself set-valued contractions which are metrically inward. Our results generalize many well-known results in
A. Amini-Harandi, D. O'Regan
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Best Proximity Pairs for Upper Semicontinuous Set-Valued Maps in Hyperconvex Metric Spaces
Fixed Point Theory and Applications, 2009 A best proximity pair for a set-valued map F:A⊸B with respect to a map g:A→A is defined, and new existence theorems of best proximity pairs for upper semicontinuous set-valued maps with respect to a homeomorphism are proved in hyperconvex ...
R. P. Agarwal +3 more
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Fixed points of set-valued maps in locally complete spaces
Fixed Point Theory and Applications, 2017 We prove an extension of the Pareto optimization criterion to locally complete locally convex vector spaces to guarantee the existence of fixed points of set-valued maps.
Carlos Bosch +4 more
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Random Lifting of Set-Valued Maps
, 2022 In this paper we discuss the properties of particular set-valued maps in the space of probability measures on a finite-dimensional space that are con- structed by mean of a suitable lift of set-valued map in the underlying space. In particular, we are interested to establish under which conditions some good regularity properties of the original set ...
Rossana Capuani +2 more
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Journal of Inequalities and Applications, 2018 In this paper, firstly, a new property of the cone subpreinvex set-valued map involving the generalized contingent epiderivative is obtained. As an application of this property, a sufficient optimality condition for constrained set-valued optimization ...
Wang Chen, Zhiang Zhou
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On some optimization problems in not necessarily locally convex space [PDF]
Yugoslav Journal of Operations Research, 2008 In this note, by using O. Hadžić's generalization of a fixed point theorem of Himmelberg, we prove a non - cooperative equilibrium existence theorem in non - compact settings and a generalization of an existence theorem for non - compact infinite ...
Gajić Ljiljana
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