complete cone metric space
Fixed point analysis for multi-valued operators with graph approach by the generalized Hausdorff distance
... a 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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Cone S-Metric Space and Fixed Point Theorems of Contractive Mappings
... Corollary 2.2. Let (, ) be a complete cone -metric space and be a normal cone with normal constant ". Suppose the mapping : → satisfies the following conditions: (B, B, C) ≼ ℎ (B, ...
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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 ...
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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 ...on complete cone ...
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Fixed Point Theorem For T-Zamfirescu Mapping On Cone Metric Spaces
... a complete cone metric space (𝑋, 𝑑), generalizing consequently the results given in [3] and [14], and we introduce T-Mann iteration and establish strong convergence theorems of these iteration ...
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Cone C-class Function with Common Fixed Point Theorems for Cone b-metric Space
... -metric space as a generalization of metric ...metric space. In 2007, Huang and Zhang [4] are introduce the concept of cone metric space and also they discussed ...
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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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Ascoli type theorems in the cone metric space setting
... Dedekind complete lattice group it may happen the non- existence of Hausdorff topologies ‘compatible’ with the order (see also []), and we need an approach different from the classical one, by considering concepts ...
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Fixed point theorems for generalized quasi-contractions in cone $b$-metric spaces over Banach algebras without the assumption of normality with applications
... of complete non-normal cone b-metric space over a Banach algebra but in [24, Theorem ...of cone metric space, depending strongly on the normality of the underlying ...
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Vol 3, No 2 (2012)
... generalized metric space or D-metric space introduced by Dhage in [2] and ...for complete and bounded D-metric ...D-metric space. Recently, Huang and Zhang [1] ...
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Some Extensions of Banach's Contraction Principle in Complete Cone Metric Spaces
... It is natural to ask whether the mentioned theorem could be modified if 3.1 holds for just sufficiently close points. To be more specific, we introduce the following definitions. Definition 3.2. Let X, d be a cone ...
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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) ...
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Common fixed point theorems for generalized multivalued contractions on cone metric spaces over a non-normal solid cone
... on complete cone metric spaces assuming that the corresponding cone is regular or normal (see ...a cone metric space (X, d) let A ˜ be a family of subsets of ...new ...
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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 in Topological Vector Space-Valued Cone Metric Spaces
... Banach space-valued cone metric ...vector space-valued cone metric spaces which is bigger than that of studied in ...vector space valued cone metric ...
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UNIQUE FIXED POINT THEOREMS IN COMPLETE METRIC SPACE
... The French Mathematician H. Poincare [1854-1912] first recognized the importance of the study of the nonlinear problems. Since then several methods have been developed for proving the fixed point by generalizing the ...
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Common fixed point under contractive condition of Ćirić’s type on cone metric type spaces
... a cone metric space, called a cone metric type space was considered, and some common fixed point theorems for four mappings in such space were ...on cone ...
7
A Result on Fixed Point in Complete G-Metric Space
... Later, several authors established many fixed point results for self mappings in G-metric spaces under certain contractions. Then the following statements are equivalent[r] ...
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Common Fixed Point Theorem for Mappings in Quasi Metric Space
... In this paper new fixed point theorem in complete quasi metric space has been proved for mappings satisfying some new type of rational contraction conditions.. A complete metric space is[r] ...
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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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