Cone $b$-metric space
Cone C-class Function with Common Fixed Point Theorems for Cone b-metric Space
... introduced b -metric space as a generalization of metric ...in b -metric spaces that generalized the famous contraction principle in metric ...of cone metric ...
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A note on cone b-metric and its related results: generalizations or equivalence?
... vector space-valued metric space (or TVS-cone metric space) introduced by Du [] as a generalization of the Banach-valued/cone metric space ...generalized ...
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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
... 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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Fixed point theorems of contractive mappings in cone b-metric spaces and applications
... introduced b-metric spaces as a generalization of metric ...in b-metric spaces that generalized the famous Banach contraction principle in metric ...in b-metric ...
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Multivalued fixed point theorems in cone b metric spaces
... of cone b-metric spaces is larger than the class of cone metric spaces since any cone metric space must be a cone metric b-metric ...
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Fixed Point theorems for multiplicative Contraction mappings on Multiplicative Cone - b metric spaces
... Definition 2.1[9] Suppose P be a Cone in real Banach space E, define a partial ordering ≤ with respect to P by 𝑎 ≤ 𝑏 ⟺ 𝑏 − 𝑎 ∈ 𝑃. We can write 𝑎 < 𝑏 to show that 𝑎 ≤ 𝑏 and 𝑎 ≠ 𝑏 while 𝑎 ≪ 𝑏 will stand ...
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Common Fixed Point for Four Mappings in Cone Metric Space
... Recently, M Abbas and B.E Rhoades [5] obtained some fixed point theorems for pair of map in cone metric space. Later on K.Prudhvi [9] proved common fixed point theorem for three self maps in ...
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Some Fixed Point Theorems for a Pair of Selfmaps of a Cone Metric Space
... [4] A.Azam and B.E. Rhoades , “ Common Fixed Point Theorems in TVS-Valued Cone Metric Spaces”, Presented at World Congress on Engineering, London July, 4-6, 2012, vol. 1, pp. 30—34. [5] A. Azam, M. Arshad ...
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Cone S-Metric Space and Fixed Point Theorems of Contractive Mappings
... complete cone -metric space and be a normal cone with normal constant " ...conditions: B, B, C ≼ ℎ B, B, C (2.1) for all B, C ∈ ...
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Some Approximation in Cone Metric Space and Variational Iterative Method
... [4] H. Avdi, H. K. Nashine, B. Samet and H. Yazidi, “Coin- cidence and Common Fixed Point Results in Partial Or- dered Cone Metric Spaces and Applications to Integral Equations,” Nonlinear Analysis, ...
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Coupled fixed point results in cone metric spaces for -compatible mappings
... mappings, b-coupled coincidence point and b-common coupled fixed point for mappings F , G : X × X ® X , where ( X , d ) is a cone metric ...establish b-coupled coincidence and b- ...
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A generalised fixed point theorem of presic type in cone metric spaces and application to markov process
... a cone P ⊂ E, we define a partial ordering ≤ with respect to P by x ≤ y if and only if y - x Î ...The cone P is called normal if there is a number K > 0 such that for all x, y Î E, 0 ≤ x ≤ y implies || x ...
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Common fixed point results in function weighted metric spaces
... “standard metric space” and a “function weighted metric space” is the last axiom: In a “function weighted metric space” instead of “the triangle inequality”, another axiom has ...
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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 ...vector space E. Then, intP ≠ ∅ , but the cone P is not normal in the ...
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Dislocated cone metric space over Banach algebra and α-quasi contraction mappings of Perov type
... dislocated cone metric space over Banach alge- bra (in short dCMS-BA) as a generalisation of CMS-BA as well as a dislocated metric space and prove fixed point theorems for a Perov-type ...
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Coupled Fixed Point Theorems in Vector b-metric Space
... in metric similar to vectorial convergence when E ...valued metric and Z E then concepts of convergence in order and vectorial convergence ...vector metric space Z is a vector ...
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Vol 2013
... the cone K is solid, then each topologically bounded subset of (E, K ) is also order-bounded, ...the cone K is normal, then each order-bounded subset of (E, K) is topologically ...the cone is both ...
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Suzuki’s type fixed point theorems for generalized mappings in partial cone metric spaces over a solid cone
... of cone metric spaces and ex- tended the Banach contraction principle to cone spaces over a normal solid ...the cone. Such an approach allows the investigation of the case that the cone ...
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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 5, No 3 (2014)
... 2-metric space akin to the metric space (X, ...generalized metric space called D-metric space [1, ...ordinary metric functions and presented several fixed ...
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