Set-Valued
Fixed set of set valued mappings with set valued domain in terms of start set on a metric space with a graph
... Nadler [] and Assad and Kirk [] established some interesting fixed point results for set valued and multivalued contraction mappings. Meanwhile, Espinola and Kirk [] combined the concepts of fixed point ...
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On stationary points of nonexpansive set-valued mappings
... have appeared in a natural way. See, for instance, [, ] and the notion of a strong ap- proximate fixed point sequence (which we call an approximate stationary point sequence here) in []. In the present work we show ...
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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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Characterizations of weak-ANODD set-valued mappings with applications to an approximate solution of GNMOQV inclusions involving ⊕ operator in ordered Banach spaces
... λ)-weak-ANODD set-valued mapping with a strongly com- parison mapping A, an existence theorem of solutions and an approximation algorithm for this kind of problems are studied, and the relation between the ...
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Fixed point theorems for set-valued quasi-contraction maps in a Menger space
... In this paper, the concept of set-valued quasi-contraction mappings in Menger spaces is introduced and the proof of a set-valued fixed point theorem in this space is presented.. Keywords[r] ...
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Existence theorems for single-valued and set-valued mappings with w-distances in metric spaces
... In this paper, without assuming that w-distances are symmetric, we prove Takahashi et al.’s unique fixed point theorems for single-valued mappings and their existence theo- rem for set-valued mappings ...
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Fixed point sets of set-valued mappings
... directly from () and the fact that F(x) is closed for each x ∈ X. We now recall some definitions of continuity for set-valued mappings (see [] for more details). For our purpose, let X and Y be metric ...
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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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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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Generalized strongly set valued nonlinear complementarity problems
... Abstract. In this paper, we introduce a new class of generalized strongly set-valued non- linear complementarity problems and construct new iterative algorithms. We show the existence of solutions for this ...
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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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Generalized hierarchical minimax theorems for set valued mappings
... () One should note that the S-concave (respectively, S-convex, properly S-quasiconcave, properly S-quasiconvex, naturally S-quasiconcave, naturally S-quasiconvex) mapping is defined as above S-concave (respectively, ...
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Existence and Approximation of Fixed Points for Set-Valued Mappings
... As we have already mentioned, the existence of a convergent iterative sequence for set- valued strict contractions was established by Nadler 7. For a more general class of mappings satisfying a certain ...
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Fixed point of set valued graph contractive mappings
... We begin with the following theorem that gives the existence of a common fixed point (not necessarily unique) in metric spaces endowed with a graph for the set-valued mappings. Further, we assume that (X, d) ...
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Solvability Criteria for Some Set Valued Inequality Systems
... upper semicontinuous and convex set-valued maps with nonempty convex compact values. By constructing some functions and studying their minimax properties, some progress concerning both questions has been ...
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Connectedness and Compactness of Weak Efficient Solutions for Set Valued Vector Equilibrium Problems
... the set-valued map F : A × A → 2 Y defined by Fx, y Tx, y − x is C-convex in its second variable, and the set {Fx, y : x, y ∈ A} is a bounded set in ...
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FIXED POINTS OF CONTRACTIVE SET VALUED MAPPINGS WITH SET VALUED DOMAINS ON A METRIC SPACE WITH GRAPH
... Some important works on fixed point theorems for set valued and multivalued contrac- tion mappings were carried out by Nadler [8] and Assad and Kirk [2]. The concepts of fixed point theory and graph theory ...
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The Riesz Decomposition of Set Valued Superpramart
... of set-valued supermartingale in real space and promotes the results to reflexive Banach spaces (reference ...the set-valued martingale has Riesz decomposition in a two-dimensional plane ...of ...
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Optimality for set valued optimization in the sense of vector and set criteria
... The vector criterion and set criterion are two defining approaches of solutions for the set-valued optimization problems. In this paper, the optimality conditions of both criteria of solutions are ...
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A Sequential Set Generation Method for Predicting Set-Valued Outputs
... the set-valued output ...dle set inputs (using an attention mechanism and memory) and set outputs (searching over possible output orderings), which can quickly become ...
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