[PDF] Top 20 Remarks on the fixed point problem of 2-metric spaces

... a metric space and its fixed point problem such as -metric spaces, D-metric spaces, G-metric spaces, cone metric spaces, complex-valued ... See full document

... coupled fixed points in ordered (generalized) b-metric spaces can be obtained in a much easier ...Perov-type fixed point theorem in ordered generalized b-metric spaces is ... See full document

... unique fixed point, provided that the metric space (X , d) is ...in metric spaces, 2-metric spaces and b 2 -metric spaces;see[2, Lemma ... See full document

... The theorem that we are attempting to prove generalizes that Fisher [1] ,Nešić[2] , Popa [3]theorem using an implicit relations.. UNIQUENESS[r] ... See full document

... generalize fixed point theorems on a metric space, Gahler [2, 3] introduced the notion of 2-metric spaces while Dhage [1] initiated the notion of D - metric ...- ... See full document

... involving fixed poins used the Banach contraction ...fuzzy metric space, many authors extend their views, Grorge and Veermani [6] modified the notion of fuzzy metric spaces with the help of ... See full document

... fuzzy metric space and defined Hausdroff topology on fuzzy metric ...common fixed point theorems in fuzzy metric ...fuzzy metric space and proved some common fixed ... See full document

... of metric spaces that recovers a large class of topological spaces including standard metric spaces, b-metric spaces, dislocated metric spaces, and modular ... See full document

... type fixed point theorems for a new type of generalized contractive conditions on partial Hausdorff metric ...Hausdorff metric spaces and on Hausdorff metric-like ...above ... 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

... The main aim of this paper is to advise researchers in the field of Fixed Point Theory against an extended mistake that can be found in some proofs. We illustrate our claim proving that theorems in the very ... See full document

... a fixed point for a self mapping in deferent metric spaces is a very famous problem, which was inspired by the work of Banach ...a fixed point in different metric ... See full document

... of metric spaces [12]. Many fixed point theorems were proved by several authors using b-metric ...of 2-metric space was introduced by Gahler in 1960's keeping in view the ... See full document

... than metric space and stronger than topological space ...uniform spaces and fixed point in such spaces, see [2], [3] , [23], [24], and [30]− [34] ... See full document

... metric spaces. One of such generalization is a probabilistic metric space, briefly, PM-spaces, introduced in 1942 by Menger ...fuzzy metric spaces which are very similar to ... See full document

... In , Jachymski and Jóźwik [] proved that the classes S and are equivalent. Re- garding this result, we state the following fixed point theorems on G-metric spaces. Theorem . Let (X, ) be an ... See full document

... fixed point the- orems on G-metric spaces are particular cases of existing fixed point theorems in metric ...such spaces have a quasi-metric type structure and then many ... See full document

... Sims, Fixed point theorems for contractive mapping in complete G -metric spaces, Fixed Point Theory Appl. Sims, Some remarks concerning D -metric spaces, Proceedings International C[r] ... See full document

... Kirk’s problem, some positive partial answers may also be ...the metric space V(G) the relation x ≺ y whenever η(d(x, Tx)) ≤ φ(x) – φ(Tx), then ≺ is reflexive and ... See full document

... some fixed point theorems of Banach type contraction endowed with the graph G, we recommend [2, 3, 4, 15, 16, ...–valued metric spaces and G-contraction ... See full document