set-valued maps
On The Integral Representation of Strictly Continuous Set-Valued Maps
... additive set- valued maps with values in the space of convex weakly compact non-empty subsets of a Banach space and we deduce from this result the theorem of ...
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Best Proximity Pairs Theorems for Continuous Set-Valued Maps
... a set-valued map F : A B with respect to a set-valued map G : A A is defined, and a new existence theorem of best proximity pairs for continuous set-valued maps is proved ...
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Tightly Proper Efficiency in Vector Optimization with Nearly Cone Subconvexlike Set Valued Maps
... for set-valued vector optimization problem is introduced and a scalarization theorem for tightly proper efficiency in vector optimization problems involving nearly cone-subconvexlike set-valued ...
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Fixed point theorem for set valued maps in G-metric space
... through set valued ...of set valued contraction and proved a set valued version of the Banach contraction ...for set valued contraction mappings; see [1,2,8,13] and ...
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Fixed points of set-valued maps in locally complete spaces
... consider set-valued maps T : A → A . Such maps T are known in the literature as dynamical systems and, in our discussion, points of interest are x ∗ ∈ A such that x ∗ ∈ Tx ∗ (known as fixed ...
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Best Proximity Pairs for Upper Semicontinuous Set-Valued Maps in Hyperconvex Metric Spaces
... Let M, d be a metric space and let Aand B be nonempty subsets of M. Let g : A → A and let F : A B be a set-valued map. Now, ga, Fa is called a best proximity pair for F with respect to g if dga, Fa dA, B, ...
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Fixed points and endpoints of contractive set-valued maps in cone uniform spaces with generalized pseudodistances
... contractive set-valued maps in cone uniform spaces with generalized pseudodistances and we show how in these spaces our fixed point and endpoint existence theorem of Caristi type yields the fixed point ...
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Structure of the Fixed Point of Condensing Set-Valued Maps
... single valued compact continuous maps and later a generalization of this theorem was proved by ...the set of fixed points of compact continuous set-valued ...condensing set- ...
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On existence of a solution for the system of generalized vector quasi equilibrium problems with upper semicontinuous set valued maps
... semicontinuous set-valued maps and present several existence results of a solution for this system of generalized vector quasi-equilibrium problems and its special ...
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Coincidence Point, Best Approximation, and Best Proximity Theorems for Condensing Set-Valued Maps in Hyperconvex Metric Spaces
... In hyperconvex metric spaces, we first present a coincidence point theorem for condensing set- valued self-maps. Then we consider the best approximation problem and the best proximity problem for ...
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Prederivatives of gamma paraconvex set valued maps and Pareto optimality conditions for set optimization problems
... We say that G is a closed set-valued mapping if Gr(G) is a closed subset of X × Y. We say that G has convex values if G(x) is a convex subset of Y for any x ∈ X. Let be a subset of X; we use cl() to denote ...
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Fixed points and selections of set valued maps on spaces with convexity
... closed valued u.s.c. and there exist a topological space Z and two single-valued continuous maps p : Z → X, q : Z → Y such that p is proper and for any x ∈ X, (i) p −1 (x) is acyclic, and (ii) q(p −1 ...
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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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Transfer positive hemicontinuity and zeros, coincidences, and fixed points of maps in topological vector spaces
... of set-valued maps in E are introduced (condition of strictly transfer positive hemiconti- nuity is stronger than that of transfer positive hemicontinuity) and for maps F : C → 2 E and G : C → ...
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Fixed point and endpoint theorems for set-valued fuzzy contraction maps in fuzzy metric spaces
... In this article, we first give a fixed point theorem for set-valued contraction maps which improve and generalize the above-mentioned result of Gregori and Sapena. Then, in Section 2, we initiate ...
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(JCLR) property and fixed point in non-Archimedean fuzzy metric spaces
... The aim of the present paper is to introduce the concept of joint common limit range property ((JCLR) property) for single–valued and set–valued maps in non–Archimedean fuzzy metric spaces. We ...
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New applications of the existence of solutions for equilibrium equations with Neumann type boundary condition
... linear maps associated with additive set-valued maps only using the existence of solutions for equi- librium equations with a Neumann type boundary ...the set of all closed bounded ...
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Existence Results for Generalized Vector Equilibrium Problems on Unbounded Sets
... feasible set or a certain coercivity condition is ...unbounded set with set-valued maps defined on reflexive Banach spaces, exploiting a new coercivity condition, which was introduced ...
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A new kind of inner superefficient points
... with set-valued maps in general spaces and derived scalarization results, -saddle point theorems, and - duality assertions using -Lagrangian ...with set-valued functions, and derived ...
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FIXED POINTS OF CONTRACTIVE SET VALUED MAPPINGS WITH SET VALUED DOMAINS ON A METRIC SPACE WITH GRAPH
... The results on set-valued and multi-valued contractions on a metric space with graph are generalizations of their single-valued analogues. An example in this direction is the work of Beg et ...
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