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Partial metric space

On p-h Points and Completeness Property of a Partial Metric Space

On p-h Points and Completeness Property of a Partial Metric Space

... a partial metric on the set , (, ) is known as a partial ...a partial metric space (, ) , each point does not necessarily possess zero distance from ...a metric ...

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Vol 7, No 10 (2016)

Vol 7, No 10 (2016)

... quasi-partial metric space X is said to be an α -right-regular if for every sequence {𝑥𝑥 𝑛𝑛 } in X such that 𝛼𝛼(𝑥𝑥 𝑛𝑛 , 𝑥𝑥 𝑛𝑛+1 ) ≥ 1 for all n and 𝑥𝑥 𝑛𝑛 → 𝑥𝑥 ∈ 𝑋𝑋 as 𝑛𝑛 → ∞ , there exists a ...

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5. 
Fixed points of multivalued mappings in dualistic partial metric spaces

5. Fixed points of multivalued mappings in dualistic partial metric spaces

... Hausdorff metric on the family of closed bounded subsets of a dualistic partial metric space (DPMS) and establish a common fixed point theorem of a pair of multivalued mappings satisfying ...

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Fixed points of multivalued mappings in partial metric spaces

Fixed points of multivalued mappings in partial metric spaces

... Hausdorff metric on the family of closed bounded subsets of a partial metric space and establish a common fixed point theorem of a pair of multivalued mappings satisfying Mizoguchi and ...

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Common fixed point results in function weighted metric spaces

Common fixed point results in function weighted metric spaces

... first metric fixed point results in the setting of complete normed ...modular metric space, symmetric space, semi-metric space, quasi-metric space, partial ...

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PARTIAL CONE METRIC SPACE AND SOME FIXED POINT THEOREMS

PARTIAL CONE METRIC SPACE AND SOME FIXED POINT THEOREMS

... Partial metric space was originally developed by Matthews ([7], [8]) to provide mecha- nism generalizing metric space ...of partial metric space as a part of the ...

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Banach contraction principle for cyclical mappings on partial metric spaces

Banach contraction principle for cyclical mappings on partial metric spaces

... a partial cyclical contraction. Note that partial cyclical contractions reflect the structure of a partial metric space ...the partial metric ...

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Coupled fixed point theorems for partially contractive mappings

Coupled fixed point theorems for partially contractive mappings

... generalized metric spaces in which the self-distance need not be ...spaces, partial metric spaces, were first introduced by Matthews in ...the partial metric space, and hence ...

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Vol 2016

Vol 2016

... for metric fixed point theorems usually start from Banach contraction principle ...of partial metric space in which the self distance of any point of space may not be ...of ...

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Generalizations of Caristi Kirk's Theorem on Partial Metric Spaces

Generalizations of Caristi Kirk's Theorem on Partial Metric Spaces

... a partial metric space which is a gen- eralization of usual metric spaces in which d(x, x) are no longer necessarily ...on partial metric spaces and its topological properties ...

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Some Fixed Point Theorems in Menger Probabilistic Partial Metric Spaces with Application to Volterra Type Integral Equation

Some Fixed Point Theorems in Menger Probabilistic Partial Metric Spaces with Application to Volterra Type Integral Equation

... of partial metric space as a part of the study of denotational semantics of dataflow ...of partial metric spaces and have established some fixed point results in these spaces (see [1, ...

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Fixed point results for the α Meir Keeler contraction on partial Hausdorff metric spaces

Fixed point results for the α Meir Keeler contraction on partial Hausdorff metric spaces

... Fixed point theory is one of the most crucial tools in nonlinear functional analysis, and it has application in distinct branches of mathematics and in various sciences, such as eco- nomics, engineering and computer ...

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Some coupled fixed point theorems in two quasi-partial b-metric spaces with different coefficients

Some coupled fixed point theorems in two quasi-partial b-metric spaces with different coefficients

... the partial b-metric ...b-metric space [10] and proved fixed point theorem on ...quasi-partial metric space which is defined as ...

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Suzuki’s type fixed point theorems for generalized mappings in partial cone metric spaces over a solid cone

Suzuki’s type fixed point theorems for generalized mappings in partial cone metric spaces over a solid cone

... a partial metric space as a part of the study of denotational semantics of data for networks, showing that the Banach contraction map- ping principle can be generalized to the partial ...

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Cyclic compatible contraction and related fixed point theorems

Cyclic compatible contraction and related fixed point theorems

... Corollary . Let (X, d) be a complete b-metric space and A, B be non-empty closed sub- sets of (X, d). Suppose S and T be cyclic mappings from A ∪ B to A ∪ B such that the range of T contains the range of ...

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Fixed Point Theorems for Occasionally Weakly Compatible Mappings in Semi-Metric Space

Fixed Point Theorems for Occasionally Weakly Compatible Mappings in Semi-Metric Space

... semi-metric space as a generalization of metric ...semi-metric space and proved the first fixed point theorem for this class of ...semi- metric space initiated by Frechet ...

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Ordered S-Metric Spaces and Coupled Common Fixed Point Theorems of Integral Type Contraction

Ordered S-Metric Spaces and Coupled Common Fixed Point Theorems of Integral Type Contraction

... in metric spaces with a partial order have been studied by many authors (see [1,3, 5,8, 12,13, ...of metric spaces has attracted, and continued to attract the interest of many ...of metric ...

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$C$-class and $F(\psi,\varphi)$-contractions on $M$-metric spaces

$C$-class and $F(\psi,\varphi)$-contractions on $M$-metric spaces

... Partial metric spaces were introduced by Matthews in 1994 as a part of the study of denotational semantics of data flow ...the Partial metric spaces to M -metric ...

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Balls in generalizations of metric spaces

Balls in generalizations of metric spaces

... on partial b-metric spaces are not ...cone metric spaces, this paper also constructs a cone metric space (X, d) and shows that { y ∈ X : d(x,y) ε } = { y ∈ X : d(x, y) ≤ ε } in general, ...

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Coupled Fixed Point Theorems in Vector b-metric Space

Coupled Fixed Point Theorems in Vector b-metric Space

... in metric similar to vectorial convergence when E   ...valued metric and Z  E then concepts of convergence in order and vectorial convergence ...vector metric space Z is a vector ...

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