Cone Metric Space
Common Fixed Point Theorem in Cone Metric Space for Rational Contractions
... Theorem 2.1. Let (X, d) be a complete cone metric space and P a normal cone with normal constant M . Let T : X → X be an almost Jaggi contraction, for all x, y ∈ X where L ≥ 0 and α, β ∈ [0, ...
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Fixed point theorems under c-distance in ordered cone metric space
... Our first result is the following theorem of Chat- terjea type (see [7]) for c-distance in a cone metric space without normality condition of cone. Theorem 3.1 Let (X, ⊑ ) be a partially ...
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PARTIAL CONE METRIC SPACE AND SOME FIXED POINT THEOREMS
... of cone metric spaces by replacing real numbers with a cone P in the metric function in which it is called a ...Banach space to define cone metric space, which is ...
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Some Approximation in Cone Metric Space and Variational Iterative Method
... The common fixed point theorems for two operators in cone metric space are given in [3]. By using of needing same definition and as same results in it, we consider fixed point theorem in cone ...
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Common Fixed Point for Four Mappings in Cone Metric Space
... introduced cone metric space by replacing the real number set with an ordered Banach space in ...of metric space is generalised and that is cone metric ...this ...
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Dislocated cone metric space over Banach algebra and α-quasi contraction mappings of Perov type
... of cone metric space, Liu and Xu in [] introduced a cone metric space over Banach algebra (in short CMS-BA) and proved contraction principles in such a ...a cone ...
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Some Fixed Point Theorems for a Pair of Selfmaps of a Cone Metric Space
... of metric space by replacing the set of real numbers by ordered Banach space and defined cone metric space and extended Banach type fixed point theorems for contractive type ...
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3. Compatibility and weak compatibility for four self maps in a Cone metric space
... Abstract. The object of this paper is to introduce the concept of compatibil- ity of pair of self maps in a cone metric space without assuming its normality. Using this concept we establish a unique ...
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Some fixed point theorems for contraction of rational expression on cone metric space
... In this paper, we discuss generalised result on altering distance functions and fixed point theorems of integral type contraction through rational expression cone metric space. Definition 1. Let E be ...
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Ascoli type theorems in the cone metric space setting
... We give some necessary and sufficient conditions for (global) continuity of the limit of a pointwise convergent net of cone metric space-valued functions, defined on a Hausdorff topological space, ...
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COMMON FIXED POINT THEOREM FOR COMPATIBLE MAPPINGS SATISFYING CONTRACTIVE CONDITION OF INTEGRAL TYPE IN CONE METRIC SPACE
... Huang and Zhang [10] introduced the notion of cone metric space and proved some fixed point theorems in cone metric spaces for mapping satisfying various contractive conditions. Many ...
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Study of Common Fixed Point Results for Compatible Mappings in Cone Metric Space
... a metric space, replacing the set of real numbers by an ordered Banach space and obtained some fixed point theorems for mappings satisfying different contractive ...of cone metric ...
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Fixed point analysis for multi-valued operators with graph approach by the generalized Hausdorff distance
... complete cone metric space (with cone P in real Banach space E ) endowed with a connected graph G and F : X → CB(X) be a generalized Banach G- ...
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Critical Point Theorems and Ekeland Type Variational Principle with Applications
... topological space X, d in 28 is assumed to be a cone metric ...vector space with a normal ordering cone P, X, λ is λ-complete not necessarily quasi-λ-complete and the values of mapping ...
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Common fixed point under contractive condition of Ćirić’s type on cone metric type spaces
... a metric, by an ordered Banach space we obtain a generalization of metric space (see, ...of cone metric spaces. They described the con- vergence in cone metric ...
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Vol 4, No 9 (2013)
... a metric space, replacing the set of real numbers by an ordered Banach space and obtained some fixed point theorems for mapping satisfying different contractive ...in cone metric spaces ...
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Fixed point theorems in probabilistic cone metric spaces
... of metric spaces, replacing the set of real numbers by an ordered Banach space, hence they have defined the cone metric ...in cone metric ...complete cone metric ...
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Extensions of Banach contraction principle to partial cone metric spaces over a non-normal solid cone
... partial cone metric space X is convergent whenever E is a normed vector space, and the converse is true provided that P is a ...partial cone metric, which is convergent but not ...
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Fixed points in topological vector space (tvs) valued cone metric spaces
... Definition 2.4. [9] Let (X, d) be a tvs-valued 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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Common Fixed Point Theorems for Four Mappings on Cone Metric Type Space
... a cone metric type space, which is a generalization of a cone metric ...solid cone, without the assumption of continuity of ...
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