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Generalized metric space

A Generalized Metric Space and Related Fixed Point Theorems

A Generalized Metric Space and Related Fixed Point Theorems

... of metric spaces that recovers a large class of topological spaces including standard metric spaces, b-metric spaces, dislocated metric spaces, and modular ...standard metric spaces ...

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Uniformly Locally Contractive Mapping and Fixed point Theorems in Generalized Metric Space

Uniformly Locally Contractive Mapping and Fixed point Theorems in Generalized Metric Space

... In this paper we prove a fixed point theorems of ( , )   Uniformly Locally Contractive map of T- Orbitally Complete Metric space by using contractive condition by generalizi[r] ...

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Common fixed point results for three maps in generalized metric space

Common fixed point results for three maps in generalized metric space

... The purpose of this article is to initiate the study of common fixed point for three mappings in complete G-metric space. It is worth mentioning that our results do not rely on the notion of continuity, ...

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A Generalized Metric Space And Related Fixed Point Theorems

A Generalized Metric Space And Related Fixed Point Theorems

... new generalized metric spaces and extend some well-known related fixed point theorems that recovers a large class of topological spaces including standard metric spaces, b-metric spaces, ...

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A generalized metric space and related fixed point theorems

A generalized metric space and related fixed point theorems

... of metric spaces that recovers a large class of topological spaces including standard metric spaces, b-metric spaces, dislocated metric spaces, and modular ...standard metric spaces ...

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Common fixed point theorems for non compatible self maps in generalized metric spaces

Common fixed point theorems for non compatible self maps in generalized metric spaces

... in generalized metric space, without the conditions for the completeness of space and the continuity of mappings, we establish some new common fixed point theorems for two ...

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Vol 3, No 2 (2012)

Vol 3, No 2 (2012)

... A generalized metric space or D-metric space introduced by Dhage in [2] and ...[4] generalized Dhage’s contractive condition and proved the existence of a unique fixed point of a ...

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Vol 3, No 3 (2012)

Vol 3, No 3 (2012)

... b-metric space appeared in some works, such as ...of metric spaces were proposed by Gahler[31],(called 2-metric spaces) and Dhage[2],(called D-metric ...of generalized ...

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Fixed point theorems in a new type of modular metric spaces

Fixed point theorems in a new type of modular metric spaces

... modular metric space and a generalized metric space in the sense of Jleli and Samet [6], we introduce a new concept of generalized modular metric ...new space. To ...

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Coupled common fixed point theorems for (ψ, φ)-contractive mixed monotone mappings in partially ordered G-metric spaces

Coupled common fixed point theorems for (ψ, φ)-contractive mixed monotone mappings in partially ordered G-metric spaces

... D-metric space is a generalization of usual metric spaces and it is introduced by Dhage [13] and ...the generalized metric space structure which they called G-metric ...

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Vol 3, No 1 (2012)

Vol 3, No 1 (2012)

... fuzzy metric space in different ...fuzzy metric space by generalizing the concept of probabilistic metric space to fuzzy ...fuzzy metric space introduced by ...

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New generalized fuzzy metrics and fixed point theorem in fuzzy metric space

New generalized fuzzy metrics and fixed point theorem in fuzzy metric space

... In , Grabiec [] proved an analog of the Banach contraction theorem in fuzzy met- ric spaces (in the sense of Kramosil and Michalek []). In his proof, he used a fuzzy version of Cauchy sequence. It is worth ...

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Some fixed point theorems via generalized c-distance in ordered cone metric spaces

Some fixed point theorems via generalized c-distance in ordered cone metric spaces

... cone metric space. Let q be a generalized c-distance of order j on X and f : X → X be a continuous and nondecreasing mapping with respect to ...

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On Multidimensional fixed Point Theorems In Ordered V-Fuzzy Metric Spaces

On Multidimensional fixed Point Theorems In Ordered V-Fuzzy Metric Spaces

... Abstract— In this article, we establish some coincidence point and common fixed point theorems in the recently introduced notion of partially ordered V- fuzzy metric spaces for 𝜙-contraction. Using the results, ...

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Common fixed point results in function weighted metric spaces

Common fixed point results in function weighted metric spaces

... In this paper, we shall restrict ourselves to the recently introduced generalization of a metric space, namely, function weighted metric space [1]. Our aim is to obtain a fixed point result for ...

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Vol 2013

Vol 2013

... [1] generalized the concept of metric space, replacing the set of real numbers by an ordered Banach space, and obtained some fixed point theorems for mappings satisfying different contractive ...

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Common fixed point theorems for a family of mappings in cone metric spaces

Common fixed point theorems for a family of mappings in cone metric spaces

... d( f x, f y) αd(x, y) + β [d(x, f x) + d(y, f y)] + γ [d(x, f y) + d(y, f x)] (3.3) for all x, y ∈ X , where α , β , γ ≥ 0 and α + 2β + 2γ < 1. Then f has a unique fixed point in X . Proof. Set p = q = 1 in (3.2) and ...

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Stability of the quadratic functional equation in non-Archimedean L-fuzzy normed spaces

Stability of the quadratic functional equation in non-Archimedean L-fuzzy normed spaces

... The theory of fuzzy sets was introduced by Zadeh in 1965 [31]. After the pioneer- ing work of Zadeh, there has been a great effort to obtain fuzzy analogues of classical theories. Among other fields, a progressive ...

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Vol 2, No 9 (2011)

Vol 2, No 9 (2011)

... fuzzy metric spaces has been carried out in several ways ...fuzzy metric space introduced by Kramosil and Michalek [10] with a view to obtain a Housdorff topology on fuzzy metric spaces, and ...

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New generalized pseudodistance and coincidence point theorem in a b-metric space

New generalized pseudodistance and coincidence point theorem in a b-metric space

... b-metric space. Theorem . Let (X, d) be a b-metric space (with s ≥ ), where d : X × X → [, ∞ ) is continuous on X  , Y ⊆ X, and let A, B, S, T : Y → X be such that T(Y ) ⊆ B(Y ), A(Y ) ⊆ ...

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