Set-Valued Mappings
Ky Fan minimax inequalities for set-valued mappings
... for set-valued ...for set-valued mappings by using a section theorem and a linear scalarization ...for set-valued mappings by using a nonlinear scalarization ...for ...
12
Generalized vector quasi equilibrium problems with set valued mappings
... solution set of the GVQEP is ...a set- valued mapping such that C ( x ) is a closed pointed and convex cone with int C ( x ) = ∅ for each x ∈ X, let D : X → 2 X and T : X → 2 Y be ...
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Bilevel minimax theorems for non continuous set valued mappings
... closed set with nonempty interior and satisfies λC ⊆ C, ∀ λ > ; C + C ⊆ C; and C ∩ (–C) = { } ...two set-valued mappings F, G : X × Y ⇒ R, under suit- able conditions the following ...
15
Existence and Approximation of Fixed Points for Set-Valued Mappings
... certain set-valued mappings of contractive ...of set-valued ...certain mappings of contractive type, while the second one contains mappings satisfying a Caristi-type ...
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On sequences of fuzzy sets and fuzzy set-valued mappings
... Based on level sets of fuzzy sets, we propose definitions of limits of sequences of fuzzy sets, and limits and derivatives of fuzzy set-valued mappings. Then, their properties are derived. Limits of ...
19
Stationary points for set valued mappings on two metric spaces
... single-valued mappings on two metric ...single-valued mappings into set-valued ...of set-valued mappings in complete and compact metric ...
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Fixed set of set valued mappings with set valued domain in terms of start set on a metric space with a graph
... of set valued ...i.e., set valued contraction maps with set valued do- ...fixed set which is anal- ogous to the concept of fixed point for a multivalued ...start set ...
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Related fixed points for set valued mappings on two uniform spaces
... RELATED FIXED POINTS FOR SET-VALUED MAPPINGS ON TWO UNIFORM SPACES DURAN TÜRKOĞLU and BRIAN FISHER Received 20 April 2004.. Some related fixed point theorems for set-valued mappings on t[r] ...
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Existence theorems for single-valued and set-valued mappings with w-distances in metric spaces
... By using the idea of Caristi’s fixed point theorem [], Chuang et al. [] proved a unique fixed point theorem for single-valued mappings which generalizes Theorem .. Further- more, they obtained an ...
15
Generalized hierarchical minimax theorems for set valued mappings
... for set-valued ...four set-valued ...scalar set-valued ...for set-valued mappings in Hausdorff topological vector spaces by using the re- sults obtained in ...
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The existence and stability for weakly Ky Fan’s points of set valued mappings
... solution set for vector equilibrium ...the set of its Ky Fan’s ...the set of its Nash equilibrium ...of set-valued mappings and obtain some existence theorems of weakly Ky Fan’s ...
7
Common fixed points of set valued mappings
... Mappings satisfying the inequality (1.1) with a = 1 and b = c = 0 is called nonexpan- sive and it was considered by Kirk [6], whereas the mapping with a = 0, b = c = 1/2 by Wong [13]. Recently, Fisher et al. [3], ...
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A System of Random Nonlinear Variational Inclusions Involving Random Fuzzy Mappings and Monotone Set Valued Mappings
... fuzzy mappings and set-valued mappings with H · , · -monotonicity in two Hilbert spaces and develop a new algorithm which produces four random iterative ...
17
Fixed point sets of set-valued mappings
... point set of a certain nonexpansive mapping is always a nonexpansive retract of its ...nonexpansive mappings in ...nonexpansive mappings (which includes various nonexpansive-type mappings) on ...
16
On common fixed points of weakly commuting mappings and set valued mappings
... set-valued mappings and of two single-valued mappings defined on a complete metric space, under a contractive condition and a weak commutativity concept... of the second author..[r] ...
7
Set valued mappings in partially ordered fuzzy metric spaces
... for set-valued mappings in complete partially ordered fuzzy metric ...for set-valued mappings on complete partially ordered fuzzy metric spaces which generalizes results of Mihet ...
17
Convergence of Inexact Iterative Schemes for Nonexpansive Set-Valued Mappings
... Taking into account possibly inexact data, we study iterative schemes for approximating fixed points and attractors of contractive and nonexpansive set-valued mappings, respectively. More precisely, ...
10
Characterizations of weak-ANODD set-valued mappings with applications to an approximate solution of GNMOQV inclusions involving ⊕ operator in ordered Banach spaces
... monotone mappings, maximal η-monotone mappings, and defined an associated resolvent operator in ...η)-accretive mappings, which generalized the existing monotone or accretive operators, and studied ...
12
Common fixed points for two set-valued mappings on metric spaces
... Chen, Some new fixed point theorems for set-valued contractions in complete metric spaces, Fixed Point Theory Appl. Liu, Common fixed point theorems for sequences of Φ -type contraction [r] ...
12
Related fixed points for set valued mappings on two metric spaces
... We let (X,d) be a complete metric space and let B(X) be the set of all nonempty sub- sets of X. As in [1, 2], we define the function δ(A,B) with A and B in B(X) by δ(A,B) = sup{d(a,b) : a ∈ A,b ∈ B}. If A consists ...
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