Cone Metric Spaces
Cone Metric Spaces, Cone Rectangular Metric Spaces and Common Fixed Point Theorems
... of cone metric space, where the set of real numbers is replaced by an ordered Banach space, and they have established some fixed point theorems for contractive type mappings in a normal cone ...
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Nonlinear quasi-contractions in non-normal cone metric spaces
... in cone metric spaces, and by using the nonlinear scalar- ization method of Du [], they obtained several fixed point theorems of nonlinear quasi- contractions and quasi-contractions restricted with ...
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Mizoguchi-Takahashi-type theorems in tvs-cone metric spaces
... of cone metric spaces as a generaliza- tion of metric ...a metric) by an ordered Banach ...in cone metric spaces, introduced their completeness and proved some ...
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Multivalued fixed point theorems in tvs-cone metric spaces
... of cone metric space is more general than that of metric space, because each metric space is a cone metric space, and a cone metric space in the sense of Huang and ...
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Fixed point theorems for multivalued maps in cone metric spaces
... a cone metric space which is a generaliza- tion of a metric ...for cone metric ...in cone metric ...in cone Banach ...
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Fixed Point Results for Multivalued Maps in Cone Metric Spaces
... Remark 3.3. Our Theorem 3.2 extends the main fixed point result of Chifu and Petrusel 18, Theorem 2.1 to the setting of cone metric spaces, and thus the result of Feng and Liu 7, Theorem 2.1 follows ...
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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 ...
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Some Generalizations of Fixed Point Theorems in Cone Metric Spaces
... The author is grateful to the referees for careful readings and corrections. He is also grateful to Professor Stojan Radenvonic for giving him all the papers on cone metric spaces used in this paper ...
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Some Coupled Fixed Point Theorems in Cone Metric Spaces
... compact cone metric space is ...a cone metric space X, ...normal cone, and X, d to be sequentially compact when P is a regular ...the cone P , when X, d is ...complete ...
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Some Common Fixed Point Results in Cone Metric Spaces
... of cone metric space, where the set of real numbers is replaced by an ordered Banach space, and they have established some fixed point theorems for contractive type mappings in a normal cone ...
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Fixed point theorems for w-cone distance contraction mappings in tvs-cone metric spaces
... (tvs)-cone metric spaces and prove various fixed point theorems for w -cone distance contraction mappings in tvs-cone metric ...
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Common fixed points of four mappings in cone metric spaces
... In 2009, Abbas and Rhoades [4] obtained several fixed point theorems for mappings without appealing to commutativity conditions in cone metric spaces. In this paper, motivated by the above results, ...
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Common Fixed Points for Generalized -Pair Mappings on Cone Metric Spaces
... of cone metric spaces and established some fixed point theorems for contractive mappings in these ...in cone metric ...in cone metric spaces see 1– ...in ...
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An Extension of Fixed Point Theorems in TVS- Valued Cone Metric Spaces
... vector spaces are used as the co domain of metric instead of Banach ...underlying cone of an ordered TVS is solid and normal it must be an ordered normed ...valued cone metric ...
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A fixed point of generalized TF -contraction mappings in cone metric spaces
... The rest of the paper is organized as follows: In Section 4, we extend Theorems 1.4 and 3.7 in cone metric spaces. Many authors avoid of using the normality condition of P (see [13-15]). Here, we ...
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Coupled fixed point results in cone metric spaces for -compatible mappings
... normed spaces and cones have applications in applied mathematics, for instance, in using Newton’s approximation method [1-4] and in optimization theory ...K-normed spaces were introduced in the mid-20th ...
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Quasi-contractions restricted with linear bounded mappings in cone metric spaces
... to cone metric spaces and extended Ćirić’s result to the setting of cone metric spaces, which was then improved by [, ...in cone metric spaces, and proved a ...
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Remarks on Cone Metric Spaces and Fixed Point Theorems of Contractive Mappings
... Cone metric spaces were introduced in ...in cone metric spaces, the authors proved some fixed point theorems of contractive ...in cone metric spaces appeared ...
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Fixed Point in Topological Vector Space-Valued Cone Metric Spaces
... space-valued cone metric ...space-valued cone metric spaces which is bigger than that of studied in ...valued cone metric ...
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Algebraic cone metric spaces and fixed point theorems of contractive mappings
... The concept of cone metric spaces over Banach algebras was previously introduced by Liu and Xu in []. They proved some fixed point theorems of generalized Lipschitz mappings with weaker conditions on ...
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