ordered $b$-metric space
On some recent coincidence and immediate consequences in partially ordered b-metric spaces
... Remark . Theorem . and Theorem . greatly generalize Theorem . and Theo- rem ., respectively. In fact, condition (.) or (.) is much wider than condition (.) or (.). On the one hand, we delete the ...
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Common fixed point results for generalized contraction mappings in b - metric space
... i.e every contraction map on a complete metric space has fixed point. Inequality (1.1) implies continuity of . This theorem is very popular and effective tool in solving existence problems in many branches ...
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Fixed point theorems for weak S-contractions in partially ordered 2-metric spaces
... The mapping satisfying (1) has a unique fixed point, provided that the metric space (X , d) is complete. Also, inequality (1) implies continuity of T . In [1, Theorem 3.5], Banach’s con- traction theorem ...
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Some common fixed point results in ordered partial b metric spaces
... of b-metric space was introduced by Bakhtin [] and extensively used by Czerwik in [, ...(ordered) b-metric spaces have been obtained (see, ...
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A new common fixed point theorem in ordered b-metric-like spaces
... of b-metric spaces was introduced and studied by Bakhtin [11] and Czer- wik ...of metric-like spaces. In 2013, Alghamdi [15] introduced the notion of b-metric-like ...the ...
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A Weak Contraction Principle in Partially Ordered Cone Metric Space with Three Control Functions
... Since P is a regular cone, it is also a normal cone. Let B = {t ∈ int P : ktk < krk K }, where K is the normal constant of the cone P . For every positive real number a with a < krk K and t ∈ int P , ktk at ...
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Common fixed point of g-approximative multivalued mapping in ordered partial metric space
... Hong introduced the concepts of approximative values, comparable approximative val- ues, upper and lower comparable approximative values in []. These definitions are a very useful tool for proving the existence of a fixed ...
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Coupled common fixed point theorems for (ψ, φ)-contractive mixed monotone mappings in partially ordered G-metric spaces
... Corollary 3.5. Let (X , ≤) be a partially ordered set and suppose that there is a G−metric on X such that (X , G) is a complete G-metric space. Let F : X × X → X and g: X → X be two mappings ...
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Kannan fixed point theorem in a cone pentagonal metric spaces
... with λ = 1/4. Applying Theorem 3.1, we obtain that S admits a unique fixed point, that is z = 4. In the above Example, results of Jleli and Samet [9], (or Huang and Zhang [8]) are not appli- cable to obtained the fixed ...
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Some fixed point theorems in Menger PbM-spaces with an application
... Definition . Let (X, F, T ) be a Menger PbM-space with coefficient α and f : X → X be a given mapping. We say that f is a generalized β-γ -type contractive mapping of degree k (k ∈ N ), if there exist two functions ...
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Vol 2013
... cone metric space and two functions, (i) A mapping S is said to be a T-Reich contraction( – Contraction) if there b+c < 1 ( ≤ ( ( ( for all and ...
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Vol 9, No 5 (2018)
... In 1975, Subrahmanyam [18] obtained the fixed point of a continuous Banach operator in complete metric space. In 2007, Chen and Li [6] extended the concept of Banach operator to Banach operator pair and ...
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Common fixed point theorems for a family of mappings in cone metric spaces
... d( f x, f y) αd(x, y) + β [d(x, f x) + d(y, f y)] + γ [d(x, f y) + d(y, f x)] (3.3) for all x, y ∈ X , where α , β , γ ≥ 0 and α + 2β + 2γ < 1. Then f has a unique fixed point in X . Proof. Set p = q = 1 in (3.2) and ...
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Weakly c-contractive mappings in cone metric spaces
... cone metric spaces by replacing the set of real numbers with an ordered Banach space, for more details; see [4] and the references ...cone metric spaces with an appropriate topology; see ...
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On set-valued contractions of Nadler type in tυs-G-cone metric spaces
... in metric spaces became the inspiration for many authors in the metric fixed point theory (see for example ...cone metric H : A × A → E for a cone metric space (X, d) and for the family ...
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Fixed point theorems for the functions having monotone property or comparable property in the product spaces
... However, we need to introduce the concept of mixed-monotone convergence given below. Definition . Let (X, d, ) be a metric space endowed with a quasi-order ‘ ’. We say that (X, d, ) preserves the ...
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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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Coupled Fixed Point Theorem on Partially Ordered G-metric Space
... Next we prove that ( Cauchy sequence in G metric space (X, G). suppose on contrary, that at least one of ( is not a Cauchy sequence in (X,G). then there exist and sequence of natural number ( such that for ...
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A generalised fixed point theorem of presic type in cone metric spaces and application to markov process
... The purpose of the present paper is to extend and generalise the above Theorems 1.1 and 1.2 for two mappings in non-normal cone metric spaces and by removing the requirement of D(T(u, u, ... u), T(v, v, ... v)) ...
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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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