[PDF] Top 20 Common fixed point of multifunctions on partial metric spaces

... a partial metric space (PMS) was introduced by Matthews [] in  (see also ...usual metric space in which d(x, x) is no longer necessarily ...[–]). Partial metric spaces ... See full document

... ordered partial metric spaces is introduced, and some coincidence and common fixed-point theorems for these contractions are ...recent fixed-point theorems of Altun ... See full document

... the partial metric context for applications in program ...that, fixed-point results in partial metric spaces have been studied by Ran and Reurings ...studied common ... See full document

... Example 3.11. Let X = R + and G p (x, y, y) = max{x, y, y}; then (X , G p ) is a complete G-partial metric space. Let T, S : R → R be defined by T x = 2x and Sx = 3x. T and S are surjective, reciprocally ... See full document

... By Lemma 3.1 of Jachymski [31], (20) implies (as in metric cases) that the conditions (C2) and (C3) are satisfied, but nothing on the condition (C4). Conversely, in Theorem 2.3 we have assumed that (C2) and (C3) ... See full document

... 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

... Example 2.2. Let M = {1,3,5,7} with the usual Euclidean metric d. Let α,β,γ,θ be the selfmaps on M defined by α(1) = α(3) = 1, α(5) = 3, α(7) = 5, and β(1) = β(3) = β(5) = 1, β(7) = 3, and γ(1) = γ(3) = 1, γ(5) = ... See full document

... y = gx → = u gq = fp . The rest proof is the same as that fX is complete. Theorem 3.2. Let ( X d , ) be a b 2 metric space . Let f g , be mappings satisfying fX ⊃ gX and (1), for all α β , ∈ , γ > 1 . If 1). fX ... See full document

... In 1976, Jungck [4] gave the notion of commutativity to obtain common fixed point theorems. This result was further generalized and extended in various ways by many authors. In 2012, Manro et al. [9] ... See full document

... cone metric space, the function Dx, y dx, y is easily seen to be a symmetric on X 7, ...cone metric space X, ...of spaces which he called metric type ... See full document

... of partial metric spaces and extended the Banach contraction principle from metric spaces to partial metric ...of partial metric spaces, several ... See full document

... of metric spaces raised in several ...defined partial metric space, Bakhtin [4] introduced b- metric spaces, ...[15] Partial-b metric spaces and gen- ... See full document

... Now we give some definitions of graph theory which is found in any text on graph theory, for example [11]. Following Jachymski [10], let ∆ denote the diagonal of the X × X in a metric space (X, d), and consider a ... See full document

... of metric spaces or ordered metric spaces, coincidence point, and common fixed point results for self-mappings in a general class of contractions defined by an ... See full document

... coincidence point results for various classes of mappings in a metric ...cone metric space, where the set of real numbers is replaced by an ordered Banach space, and they have established some ... See full document

... where k, l are nonnegative constants with k 2l < 1. Then, F has a unique coupled fixed point. Proof. Since, k 2l < 1, hence k l < 1, and as a consequence the proof of the uniqueness in this theorem ... See full document

... a metric space (X, d) and T : A → B a ...a metric space X admits a unique fixed ...a fixed point. In case T is free from fixed point, it is of interest to find an element ... See full document

... of fixed point theory that is involving four single valued maps, began with the assumption that all of the maps are ...of fixed point theory obtained coincidence point and common ... 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

... Srinivasa Rao, “On convergent sequences and fixed point theorems in D -metric spaces,” International Journal of Mathematics and Mathematical Sciences , vol. 1969–1988, 2005[r] ... See full document