Set Valued Mapping.
The existence of contingent epiderivative for a set valued mapping and vector variational like inequalities
... a set-valued mapping, which modifies a notion introduced by Aubin [] as upper contingent deriva- tive, and also established the existence theory of this contingent epiderivative for a single- ...
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A: Hbe a single-valued nonlinear mapping and let M: H 2be a set-valued mapping. We consider the
... M : H 2 be a set-valued mapping. We consider the variational inclusion, which is to find u H such that A(u) M(u), (1.2) where is the zero vector in H. The set of solution of problem ...
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Approximate coincidence point and common fixed point results for a hybrid pair of mappings with constraints in partially ordered Menger PM spaces
... a set-valued mapping) under constraints in the framework of a Menger PM-space, by first investigating a related approximate coincidence point problem under certain constraints, and have derived some ...
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Fixed point theorems for set-valued mappings on TVS-cone metric spaces
... This definition is more restrictive than our definition of contraction by making L = in (). Indeed, even though the functional H is not properly a cone metric, it is easy to see that a set-valued ...
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Fixed point sets of set-valued mappings
... point set of a certain nonexpansive mapping is always a nonexpansive retract of its ...the mapping onto its fixed point ...point set of a virtually nonexpansive mapping is always a ...
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25. On a class of quasilinear elliptic systems in rn involving critical sobolev exponents
... ∂v (x, u, v))z]dx, ∀ (u, v), (w, z) ∈ Z. Now, we recall the fixed point theorem due to Bohnenblust-Karlin (see [11]). Theorem 2.1.([11]) Let Z be a Banach space, let B ⊂ Z be a nonempty, closed, convex set and let ...
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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 ...admissible mapping is a large class of ...
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Bilevel minimax theorems for non continuous set valued mappings
... vector-valued mapping, respectively. Scalar minimax theorems and set minimax theorems for non-continuous set-valued mappings were first proposed by Lin et ...non-continuous ...
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The system of generalized set valued equilibrium problems
... 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 set-valued ...
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Common fixed points of set valued mappings
... contraction mapping 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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Semicontinuity and closedness of parametric generalized lexicographic quasiequilibrium problems
... solution mapping for a parametric vector equilibrium ...solution set map of parametric multivalued (strong) vector quasiequilib- rium ...level set of ...a set-valued mapping ...
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Solvability and iterative algorithms for a system of generalized nonlinear mixed quasivariational inclusions with (Hi,ηi) monotone operators
... MSC: 47J20; 49J40 Keywords: Hi , ηi -monotone operators; resolvent operator technique; iterative algorithm; Mann perturbed iterative algorithm with mixed errors; set-valued mapping; conv[r] ...
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A projective splitting algorithm for solving generalized mixed variational inequalities
... Let X be a nonempty closed convex subset of a real Hilbert space H, T : X ® 2 H be a set-valued mapping and f : H ® (- ∞, +∞] be a lower semi-continuous (l.s.c) proper convex function. We consider a ...
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Fixed Point Theorems for Asymptotically Contractive Multimappings
... The following definition generalizes the notion of asymptotically contractive mapping to set-valued mappings. Note that the meaning of the word “asymptotic” is not related to the iterations of the ...
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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 ...
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On the stability of finding approximate fixed points by simplicial methods
... In fact, when a simplicial algorithm is in order, we must face approximate fixed points as the grid size shrinks. By employing the essential stabilities, this concerns the stabil- ity of approximate fixed point sets using ...
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Vol 3, No 6 (2012)
... KEY WORDS: Common Fixed Point, Compact Metric Space, Weakly Compatible Mappings, Set Valued.. Mapping.[r] ...
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On stationary points of nonexpansive set-valued mappings
... nonexpansive set-valued map- pings was provided by Markin [] in ...the mapping as is the case in [– ...generalized set-valued nonexpansive mappings through an approach given by the ...
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Multilayer approach to minimax theorems
... In this section, we show that multihierarchical structures can work on Hausdorff topolog- ical vector spaces. Let W be a Hausdorff topological vector space, and C ⊂ W a closed convex and pointed cone with apex at the ...
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On the Differentiability of Vector Valued Additive Set Functions
... It is clear from the definition that an outer-measure is a size-function defined on 2 . In fact, an arbitrary size-function : 0, defined on a -ring can be extended to an outer-measure defined on ...
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