[PDF] Top 20 Some common fixed point results in ordered partial b metric spaces

... a partial metric space as a part of the study of denotational semantics of dataflow ...In partial metric spaces, self-distance of an arbitrary point need not be equal to ...fixed ... See full document

... quasi-partial b-metric qp b 1 ...coincidence point (x, y, z) satisfying gx = F (x, y, z) = F (y, z, x) = gy = F (z, x, y) = ...unique common tripled fixed point of ... See full document

... Case III: If max = 2γ G(y, By , y), G(y, By, y) ≤ φ (2γ G(y, By, y), G(y, By, y) < 2γ G(y, By, y), G(y, By, y) < G(y, By, y) as 3α + 7β + 6γ < 1. This leads to contadiction. Thus G(y, By, y) = 0 ⇒ By = y. Also ... See full document

... unique fixed point for contraction type maps in partially ordered metric spaces using a control ...unique fixed point for a generalized Ciric quasi-contraction mapping in ... See full document

... Caristi fixed point theorem in non-Archimedean fuzzy metric ...fuzzy metric space with a ∗ b ≥ max{a b − 1, 0}, let φ : X × 0, ∞ → R be a bounded-from-above function and f : X → ... See full document

... Definition 12. (See [16]) Let (X, ≤) be a partially ordered set and F : X ×X → X and g : X → X be mappings. Then F is said to have the mixed strict g-monotone property if F (x, y) is monotone g-increasing in x and ... See full document

... We notice that Theorem . is not strong enough to conclude that F has a coupled fixed point. Inspired by Example ., we suggest the following statement instead of Theorem .. Theorem . Let (X, ) be a partially ... See full document

... Recently, fixed point theory has developed rapidly in partially ordered metric ...Further results were obtained by several authors, we mention [6, 20, ... See full document

... partially ordered set (which does not contain an infinite totally unordered subset), and d be a b-metric-like on X with constant s ≥  such that (X, d) is ...∈ b such ... See full document

... In this paper, motivated and inspired by ideas of some recent papers such as Mustafa et al. [17], Suzuki [25], Wong [35] and Shukla [23], we obtain some fixed point theorems in partial ... See full document

... Since r ∈ 0, 1, we conclude that pFx, y, x 0. By p 1 and p 2 , we have Fx, y x. Similarly, we may show that Fy, x y. Thus x, y is a coupled fixed point of F. To prove the uniqueness of the fixed ... See full document

... of metric space, Mustafa and Sims [1] introduced the frame of G-metric ...various fixed point results were carried by different researchers in this ... See full document

... a common fixed point. Remark . As corollaries we can state partial metric space as well as b-metric space ver- sions of our proved results in a similar way, which extends ... See full document

... Corollary . Let (X, ) be a partially ordered set. Suppose that there exists a partial metric p on X such that the partial metric space (X, p) is complete. Let X be regular and T , S : ... See full document

... a metric space and ρ(x, y) = (d(x, y)) p , where p ≥ 1 is a real ...a b-metric with s = 2 p−1 ...Euclidean metric, then ρ(x, y) = (x − y) 2 is a b-metric on R with s = 2, but it ... See full document

... Based on the above definition, they proved the following common fixed point result. Theorem . [] Let (X, d) be a complete metric space. If f , g : X → X are generalized ϕ -weakly contractive ... See full document

... of b-metric spaces as a generalization of metric spaces ...many results on b-metric spaces (see ...generalized metric space which is called a ... See full document

... Let X be a non-empty set. If (X, d) is a metric space and (X, ≼ ) is partially ordered, then (X, d, ≼ ) is called an ordered metric space. Then, x, y Î X are called comparable if x ≼ y or y ≼ ... See full document

... Example 2.3. Let X = [0, ∞) be equipped with the b-metric-like d(x, y) = (x + y) 2 for all x, y ∈ X , where b = 2. Define a relation on X by x y iff y ≤ x, the functions f , g : X → X by f x = ln(1 + ... See full document

... Definition . ([]) Let (X, ) be a partially ordered set, F : X × X → X and g : X → X be mappings. Then the map F is said to have a mixed g-monotone property if F(x, y) is monotone g-non-decreasing in x as well ... See full document