vector valued metric space.
Coupled Fixed Point Theorems in Vector b-metric Space
... in metric similar to vectorial convergence when E ...absolute valued metric and Z E then concepts of convergence in order and vectorial convergence ...E-complete vector metric ...
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Common Fixed Points for Maps on Topological Vector Space Valued Cone Metric Spaces
... of metric space by replacing the set of real numbers by ordered Banach space, deffined a cone metric space, and established some fixed point theorems for contractive type mappings in a ...
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Topological Vector-Space Valued Cone Banach Spaces
... cone metric spaces is more general than that of metric spaces, because each metric space is a cone metric space, and a cone metric space in the sense of Huang and ...
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3. Fixed point theorems in $N$-polygonal cone metric spaces
... on vector- valued metric spaces by Perov in 1964 ([21]), the notion of cone metric space over an ordered Banach space (also called K-metric space) has been used as ...
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Vectorial form of Ekeland-type variational principle
... for vector valued functions in the setting of complete quasi-metric spaces with ω-distance was introduced by Ansari ...quasi-metric space, C be a proper, closed and convex cone in a ...
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Mizoguchi-Takahashi-type theorems in tvs-cone metric spaces
... topological vector space (tvs)-cone metric spaces are introduced and a fixed point theorem in the context of tvs-cone metric spaces with respect to a solid cone is ...
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An Extension of Fixed Point Theorems in TVS- Valued Cone Metric Spaces
... topological vector spaces are used as the co domain of metric instead of Banach ...Banach space valued cone metric spaces to TVS- CMS can be obtained only in the case of non normal ...
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Fixed points in topological vector space (tvs) valued cone metric spaces
... cone metric space with the solid cone P . A multi- valued mapping T : X → CB(X ) is said to have the greatest lower bound property (for short, ...
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Topological Vector Space-Valued Cone Metric Spaces and Fixed Point Theorems
... Banach space instead of the set of real numbers, as the codomain for a ...cone metric spaces but went further, defining convergent and Cauchy sequences in the terms of interior points of the underlying ...
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Fixed Point in Topological Vector Space-Valued Cone Metric Spaces
... Banach space-valued cone metric ...topological vector space-valued cone metric spaces which is bigger than that of studied in ...topological vector space ...
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Existence theorems for single-valued and set-valued mappings with w-distances in metric spaces
... Let (X, d) be a metric space and let g be a function of X into (–∞, ∞] = R ∪ {∞}. Then g is proper if there exists x ∈ X such that g(x) < ∞. A function g is lower semicontinuous if for any t ∈ R, the set ...
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Fixed point and coincidence point theorems for a pair of single valued and multi valued maps on a metric space
... Bogin [1] proved a fixed point theorem for a nonexpansive type self-map on a com- plete metric space. While Rhoades obtained a generalization of it (see [8, Theorem 1]) by replacing the constant coefficients ...
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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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Fixed point theorem for set valued maps in G-metric space
... • (G4) G(x, y , z) = G(x, z, y) = G(y, z, x) = · · · (symmetry in all three variables); • (G5) G(x, y , z) ≤ G(x, a, a) + G(a, y, z) for all x, y, z, a ∈ X, (rectangle inequality). Then the function G is called a ...
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On matrix transformations concerning the Nakano vector valued sequence space
... 2. Notations and definitions. Let (X, · ) be a Banach space, the space of all se- quences in X is denoted by W (X), and Φ(X) denotes the space of all finite sequences in X. When X = K, the scalar field ...
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Coincidence point theorems for weak graph preserving multi-valued mapping
... The multi-valued mapping T studied by Reich [] in Theorem . has compact value, that is, Tx is a nonempty compact subset of X for all x in the spaces X. In , Mizoguchi and Takahashi [] relaxed the ...
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Best Approximation Results via Common Fixed Points inComplex Valued Metric Spaces
... a metric spaces such as 2- metric spaces of Gahler [4], vector-valued metric spaces of Perov [7], G-metric spaces of Mustafa and Sims [6], cone metric spaces of Huang and ...
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Coupled fixed point theorems in \(C^{*}\)-algebra-valued b-metric spaces with application
... Motivated by the work in [, , –], in this paper, we will establish coupled fixed point theorems in C ∗ -algebra-valued b-metric space. More precisely, we will prove some coupled fixed point ...
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\(C^{\ast}\)-Algebra-valued b-metric spaces and related fixed point theorems
... -algebra- valued metric space is satisfied. Thus a C ∗ -algebra-valued b-metric space is an ordinary C ∗ -algebra-valued metric ...-algebra-valued ...
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Common Fixed Point Theorems in Complex Valued Metric Spaces
... complex valued metric space which is more general than well-known metric spaces and also gave common fixed point theorems for mappings satisfying generalized contraction ...
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