Ordered partial metric spaces
Fixed Points under ψ-α-β Conditions in Ordered Partial Metric Spaces
... partially ordered metric space using three auxiliary functions in the contractive ...0-complete ordered partial metric spaces with a more general contractive ...
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Applications and common coupled fixed point results in ordered partial metric spaces
... In this paper, we obtain a unique common coupled fixed point theorem by using ( ψ , α , β )-contraction in ordered partial metric spaces. We give an application to integral equations as well as ...
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Common fixed-point results for nonlinear contractions in ordered partial metric spaces
... partially ordered partial metric spaces is introduced, and some coincidence and common fixed-point theorems for these contractions are ...
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Coincidence points for a pair of ordered $F$-contraction mappings in ordered partial metric spaces
... Kessy et al. [10] provided the following definition con- cerning a pair of compatible self maps in partial metric spaces: Definition 2.7. [10] Let (X , ) be partially ordered set and f , g : X ...
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Fixed Point of Hardy Rogers Contractive Mappings in Partially Ordered Partial Metric Spaces
... Definition 3.1. Let X, be a partially ordered set. A mapping f is called 1 a dominating map on X if x fx for each x in X and 2 a dominated map on X if fx x for each x in X. Example 3.2. Let X 0, 1 be endowed with ...
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Fixed point of generalized weakly contractive mappings in ordered partial metric spaces
... We conclude the article with some examples which illustrate the obtained results. Example 2.11. Let X = [0, 1] be endowed with usual order and let p be the complete partial metric on X defined by p(x, y) = ...
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Suzuki’s type fixed point theorems for generalized mappings in partial cone metric spaces over a solid cone
... 27. Zhu, CX: Research on some problems for nonlinear operators. Nonlinear Anal. 71, 4568-4571 (2009) 28. Zhu, CX: Several nonlinear operator problems in the Menger PN space. Nonlinear Anal. 65, 1281-1284 (2006) 29. Zhu, ...
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Coincidence and fixed points for contractions and cyclical contractions in partial metric spaces
... We prove some coincidence and common fixed point results for three mappings satisfying a generalized weak contractive condition in ordered partial metric spaces. As application of the presented ...
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Some common fixed point results in ordered partial b metric spaces
... In this paper, we introduce a modified version of ordered partial b-metric spaces. We demonstrate a fundamental lemma for the convergence of sequences in such spaces. Using this lemma, ...
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Coupled coincidence point theorems for generalized nonlinear contraction in partially ordered metric spaces
... partially ordered metric space, i.e., ≤ is a partial order on the set X, and d is a complete metric on ...following partial order: (u, v) ≤ (x, y) ⇔ x ≥ u, y ≤ ...
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A short note on ‘Common fixed point theorems for non compatible self maps in generalized metric spaces’
... partially ordered metric spaces (see [, ]), in G-metric spaces (see [–]), among other abstract metric spaces (see [, ] in partial metric spaces, ...
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Vol 6, No 10 (2015)
... - metric space. In 1994, Matthews [20] introduced the concept of partial metric space in which the self distance of any point of space may not be ...of partial metric space by admitting ...
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Coupled Fixed Point Theorems for Nonlinear Contractions in Partial Metric Spaces
... partially ordered set having the property that for every x, y, z, t ∈ X × X , there exists a u, v in X ×X such that u ≤ x, z and v ≤ y, t and suppose that there is a partial metric p on X such that ...
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On P-contractions in ordered metric spaces
... a partial ordering is defined on the ...a partial ordering on a set X if it is reflexive, antisymmetric and ...a partial ordering defined on it, we say that it is a partially ordered set ...
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Some Coupled Fixed Point Results on Partial Metric Spaces
... For a given partially ordered set X, Bhaskar and Lakshmikantham in 1 introduced the concept of coupled fixed point of a mapping F : X × X → X. Later in 2, C´ ır´ ıc and Lakshmikantham investigated some more ...
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Normed Ordered and 𝐸 Metric Spaces
... a partial ordering on ...normed ordered space. By the definition of cone metric space, IntP / ...cone metric d on X is chosen to be the ordered E-metric as in Definition ...
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Common fixed points of mappings satisfying implicit contractive conditions
... of metric spaces or ordered metric spaces, coincidence point, and common fixed point theorems for self-mappings in a general class of contractions defined by an implicit ...
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Mixed g-monotone property and quadruple fixed point theorems in partially ordered metric spaces
... In this article, we establish some quadruple coincidence and common fixed point theorems for F : X 4 ® X and g : X ® X satisfying nonlinear contractions in partially ordered metric spaces. Also, some ...
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Fixed point theorems in probabilistic cone metric spaces
... of metric space is Menger space introduced in 1942 by Menger [2] who used distribution functions instead of nonnegative real numbers as values of the ...probabilistic metric space correspond to situations ...
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Metric-like spaces, partial metric spaces and fixed points
... a metric-like space, as a generalization of a partial metric space, we mean a pair (X , σ ), where X is a nonempty set and σ : X × X → R satisfies all of the conditions of a metric except that ...
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