[PDF] Top 20 Fixed point theorems and partial metric spaces

... Definition 2.5([6]) Assume that the set X is nonempty and H, G : X → X . If w = Hx = Gx, x,w ∈ X, then x, w are called a coincidence point of H and G and a point of coincidence of H and G, respectively. ... See full document

... two fixed point theorems in a partial metric ...of partial metric ...Banach fixed point theorem in the setting of partial metric spaces ... See full document

... “Common fixed point theorems for weakly isotone increasing mappings in ordered partial metricspaces,” Mathematical and Computer ...“Fixed point results under various contractive ... See full document

... dualistic partial metric spaces and establish some fixed point theorems for weak contraction mappings of rational type defined on dualistic partial metric ... See full document

... a partial metric and extended the Banach contraction principle in the context of partial metric ...Nadler’s fixed point theorem to partial metric spaces and ... See full document

... For nondecreasing ϕ, Ćirić’s condition () is more general than (), and () is more general than condition (). All these conditions are used to prove that f has a fixed point. Let us note that ϕ() for ... See full document

... of fixed points in partially ordered sets has been considered recently in 9, and some generalizations of the result of 9 are given in 10– 15 in a partial ordered metric ...on partial ordered ... See full document

... fixed point and studied some nice coupled fixed point ...coincidence point of mappings. For some works on a coupled fixed point, we refer the reader to ... See full document

... coincidence point of F and g, and therefore (gu, gu) is a coupled point of coincidence of F and g, and by its uniqueness, we get gu = ...fixed point of ... See full document

... Example . Let X = [, ] be endowed with the usual partial metric p : X × X → [, +∞) defined by p(x, y) = max {x, y}. It is easy to show that the partial metric space (X, p) is com- plete. ... See full document

... a partial metric space which is a generalization of usual metric ...complete partial metric ...on partial metric spaces and obtained many useful fixed ... See full document

... b-metric spaces which is a generalization of the concept of quasi-partial-metric ...fixed point results are proved in setting of such spaces and some examples are given to verify ... See full document

... for partial metric spaces and fixed points for partially ordered metric ...a metric, then we obtain Theorem  of ...fixed point and coupled fixed point results for mappings ... See full document

... b-metric spaces was introduced by Czerwik [3] as a generalization of metric ...The partial metric space was introduced by Matthews [8] in ...and partial-metric ... See full document

... As a generalization of the Banach contraction mapping principle, Kirk-Srinivasan-Veeramani devel- oped the cyclic contraction. A contraction T : A ∪ B → A ∪ B on non-empty sets A, B is called cyclic if T (A) ⊂ B and T ... See full document

... and fixed point theory ...generalized metric spaces, such as b-metric spaces, partial metric spaces(see ...and partial metric space and ... See full document

... Recently, Wardowski [] introduced the notion of a F -contraction mapping and investi- gated the existence of fixed points for such mappings. The results of Wardowski [] extend and unify several fixed point results ... 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

... generalized metric spaces for which we extend some well-known fixed point results including Banach contraction principle, Ćirić’s fixed point theorem, a fixed point ... See full document

... proximity point theorem (for short BPPT) guarantees the global minimiza- tion of d(x, Tx) by the requirement that an approximate solution x satisfies the condition d(x, Tx) = d(A, ...proximity point ... See full document