Cone metric
Extensions of Banach contraction principle to partial cone metric spaces over a non-normal solid cone
... partial cone metric spaces over a non-normal solid cone, which improve many recent fixed point results in cone metric spaces and partial cone metric ...
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Coupled coincidence points for two mappings in metric spaces and cone metric spaces
... to cone metric spaces; Lakshmikantham and Ćirić [4] proved several coupled coincidence and coupled common fixed point the- orems for nonlinear contractive mappings in partially ordered complete ...
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Common fixed point theorems for generalized multivalued contractions on cone metric spaces over a non-normal solid cone
... a cone in E with int(P) = ∅ and let be a partial ordering with respect to ...a cone metric on the nonempty set X if the following axioms are ...
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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 metric space in settings ...
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Fixed point theorems for w-cone distance contraction mappings in tvs-cone metric spaces
... a cone P be defined by P = {f Î E : f(t) ≥ 0 for t Î [0, 1]}. This cone is normal in the Banach-space topology on ...the cone P is not normal in the topology τ ...normal cone, then the ...
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FIXED POINT IN MENGER CONE METRIC SPACES
... of metric spaces is generalized by Huang and Zhang, [1] replacing the set of real numbers with an ordered Banach space, resulted the definition of the cone metric ...in cone metric ...
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On -Stability of Picard Iteration in Cone Metric Spaces
... Theorem 2.7. Let X, d be a nonempty complete cone metric space, P be a normal cone, and T a quasicontraction and self map of X with some 0 < λ < 1/2. Then Picard’s iteration is T -stable. ...
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Unique common fixed points for two generalized expansive mappings on non-normal cone metric spaces with Banach algebras
... of cone metric spaces over Banach algebras to obtain some new unique common fixed point theorems for two generalized expansive mappings on cone metric spaces over Banach algebras without the ...
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F-cone metric spaces over Banach algebra
... a cone metric ...of cone metric spaces over Banach algebras by replacing Banach spaces E by Banach algebras A as the underlying spaces of cone metric ...
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Ascoli type theorems in the cone metric space setting
... asymmetric cone metric space (for literature on the asymmetric case, see also [] and the related ...a cone metric space: indeed, it is enough to take ρ(y , y ) = |y – y |, y , y ...
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Coincident point and fixed point results for three self mappings in cone metric spaces
... of cone metric spaces which is a gener- alization of metric spaces, by replacing the set of real numbers by ordered Banach space and proves some fixed point theorems for some contractive maps in ...
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Cone metric spaces with Banach algebras and fixed point theorems of generalized Lipschitz mappings
... Remark . Note that in Theorem . we only suppose that the spectral radius of k is less than , neither k < e nor k < assumed. This is a vital improvement. In fact, the condition ρ(k) < is weaker than that ...
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Fixed point results under c-distance in tvs-cone metric spaces
... In this paper, we consider fixed point and common fixed point results for mappings in tvs-cone metric spaces (with the underlying cone which is not normal) under con- tractive conditions expressed in ...
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Weakly c-contractive mappings in cone metric spaces
... of cone metric spaces by replacing the set of real numbers with an ordered Banach space, for more details; see [4] and the references ...of cone metric ...the 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 space ...
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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 space ...
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Multipled fixed point theorems in cone metric spaces
... Olaleru in [] and later Abbas et al. in [] proved the existence of the fixed points of single maps and the common fixed points of pairs and quartets of w-compatible maps satisfying some general contractive conditions. ...
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Modular Cone Metric Spaces
... of cone metric spaces called modular cone metric ...modular cone metric space is introduced and some properties of such spaces are ...modular cone metric which ...
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Cone Metric Spaces are not Generalized Metric Spaces: A Plenary Survey
... of cone metric spaces, by giving major tries, to make general, the concept of metric ...for cone metrics to be real generalizations of metrics. Keywords: Cone, cone ...
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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 ∈ [0, 1) with ...
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