Set-valued Optimization
Optimality for set valued optimization in the sense of vector and set criteria
... and set criterion are two defining approaches of solutions for the set-valued optimization ...the set-valued optimization ...
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Optimality Conditions of Vector Set Valued Optimization Problem Involving Relative Interior
... programming, set-valued optimization is a very important ...as Set-Valued and Variational Analysis original name: Set-Valued Analysis were also ...convex ...
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Approximate solutions for nonconvex set valued optimization and vector variational inequality
... a set- valued map, which includes the contingent epiderivative as its special ...a set-valued problems and some ex- istence results for solutions of set-valued ...
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Second order lower radial tangent derivatives and applications to set valued optimization
... the set-valued optimization have at- tracted a great deal of attention, and various derivative-like notions have been utilized to express these optimality ...vector optimization prob- lems ...
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Globally proper efficiency of set valued optimization and vector variational inequality involving the generalized contingent epiderivative
... a set-valued ...of set-valued maps, Liu and Gong [13] in- vestigated the relations between the proper efficiency of set-valued optimization problem (for short, (SVOP)) and ...
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The relationship between multi-objective robustness concepts and set-valued optimization
... between set-valued optimization and uncertain multi- objective ...of set- valued optimization ...objective optimization problems can be interpreted as an application of ...
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Higher Order Weakly Generalized Adjacent Epiderivatives and Applications to Duality of Set Valued Optimization
... A new notion of higher-order weakly generalized adjacent epiderivative for a set-valued map is introduced. By virtue of the epiderivative and weak minimality, a higher-order Mond-Weir type dual problem and ...
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Generic stability of the solution mapping for set valued optimization problems
... efficient solution mapping for set-valued optimization problems. Moreover, we show that, in the sense of Baire category, most set-valued optimization problems are stable. Finally, ...
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Global and local optimality conditions in set valued optimization problems
... We present some basic definitions and results that are required in the sequel and we introduce the notions of strictly star-shaped set and nearly convex set at a point. Under conditions based on these ...
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Optimality conditions of second-order radial epiderivatives
... contingent set [15], introduced by Aubin and Frankowska ...in set-valued ...in set-valued optimiza- ...to set-valued ...in set-valued vector ...
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The existence of contingent epiderivative for a set valued mapping and vector variational like inequalities
... a set-valued mapping in a general normed space with respect to Daniell ...between set-valued optimization problems and variational-like inequality problems under the conditions of ...
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A new kind of inner superefficient points
... On the other hand, proper efficiency is a natural concept in vector optimization. Bor- wein [] introduced a new kind of proper efficiency,namely super efficiency. Super effi- ciency refines the notions of efficiency and ...
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Arcwise connected cone quasiconvex set valued mappings and Pareto reducibility in vector optimization
... solution set as the union of the sets of efficient solutions of all subproblems obtained from the original one by selecting certain ...multicriteria optimization problems to explicitly quasiconvex ...
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Feasibility of set valued implicit complementarity problems
... semicontinuous set-valued mapping with compact acyclic values is admissible, and the composition of two admissible mappings is also ad- missible; see ...of set-valued mappings, such a class ...
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On fixed points of set valued directional contractions
... In [1 I, [2 l, Sehgal and Smithson proved fixed point theorems for set-valued weak drectional contractions which extend earlier rosults of Clarke [3], Kirk and Ray [4], In the present pa[r] ...
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The system of generalized set valued equilibrium problems
... Definition 2.2. Let E and Z be topological spaces, X ⊂ E a nonempty convex set. Let C : X → 2 Z be a set-valued mapping with IntC(x) = ∅ for all x ∈ X and Φ : X × X → 2 Z be a ...
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Common fixed points of set valued mappings
... for set-valued mappings. A set-valued mapping F : X → CB(X) is said to be contraction if there exists a real number k, 0 ≤ k < 1 such that H(Fx,Fy) ≤ ...
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Interval Valued Intuitionistic Fuzzy Subrings of A Ring
... interval valued fuzzy set (IVF) is defined by an interval-valued membership ...interval valued fuzzy R-subgroups of ...interval valued Anti fuzzy Left h-ideals over ...interval ...
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Fixed points of set-valued maps in locally complete spaces
... nonlinear optimization, fo- cuses on solving an optimization problem via a perturbed optimization ...other optimization statements, in particular, and of interest in this paper, is the ...
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Heyting-valued interpretations for Constructive Set Theory
... Interpretations for constructive set theories in which the truth values are modelled using Grothendieck topologies on posets were studied in [21]. There, it is observed that the validity of the Exponentiation ...
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