[PDF] Top 20 Common fixed points of ordered g-contractions in partially ordered metric spaces

... the common fixed point in the case of an ordered ...that ordered g-quasicontraction in ...an ordered g -quasicontraction in ... See full document

... a common fixed point theorem is obtained when for all x, u ∈ X, there exists a ∈ X such that fa is comparable to fx and fu in addition to the hypotheses in Theorem ...a common fixed point in the case of an ... See full document

... in metric spaces and known generalized metric spaces to S-metric ...coupled common fixed point theorems for a contractive-type maps with the mixed weakly monotone property in ... See full document

... of common fixed points of mappings satisfying certain contractive conditions in the setup of partially ordered metric spaces can be employed to establish the existence of ... See full document

... introduce ordered quasicontractions and g-quasicontractions in partially ordered metric spaces and prove the respective (com- mon) fixed point ... See full document

... fuzzy metric spaces were considered in 15, 16, 22, ...studied fixed point theory in fuzzy metric spaces; see, for example, 7, 8, 25, 26, 39, ...L-fuzzy metric spaces ... See full document

... coupled common fixed point results for mixed monotone operators satisfying new nonlinear contractions in ordered G-metric ... See full document

... the fixed point equation T x = x of a given mapping T does not have a solution, then it is of interest to find an approximate solution for ...of fixed point theorems, since most fixed point theorems ... See full document

... Recently, Rold ´ an et al. [17] obtained some existence and uniqueness theorems that extend the previous mentioned results for nonlinear mappings of any number of arguments, not necessarily permuted or ordered, in ... See full document

... of fixed point in partially ordered sets see 8–19, 21–36 and the references cited ...in partially ordered ...and common fixed point results for mappings satisfying a ... See full document

... Example 1.2 Consider a function p : ℝ - × ℝ - ® ℝ + defined by p(x, y) = - min(x, y) for any x, y Î ℝ - . The pair ( ℝ - , p) is a partial metric space for which p is called the usual partial metric on ℝ - ... See full document

... called partially ordered metric spaces (POMS) if (X, ) is a par- tially ordered set and (X, d) is a metric ...complete metric space, the triple (X, d, ≤) is called ... See full document

... Banach fixed point theorem for contraction mappings has been extended in many directions ...nonlinear contractions in partially ordered metric ... See full document

... coupled fixed point theorems which has attracted the attention of many researchers ...coupled common fixed point theorems for these mappings in ordered metric ... See full document

... Then (X, , d) is a partially ordered, complete -metric space whose different elements are not comparable. The identity map T(x, y) = (x, y) for all (x, y) ∈ X is continuous, non- decreasing, and ... See full document

... and g commute, then f and g commute; since F(X k ) ⊂ g(X), then f (X) ⊂ g(X); g(x   ) F(x   , x   , ...similarly g(x   ) f (x   ); furthermore, the contractivity ... See full document

... and common fixed points for a pair of single-valued mapping and set-valued mapping on a partially ordered metric ...a partially ordered set ...partial ordered sets. ... See full document

... a partially ordered metric space, Gnana-Bhaskar and Lakshmikantham [] reconsidered the notion of a coupled fixed point via the mixed monotone ...a partially ordered set and F : X × X → ... See full document

... Ran and Reurings [] proved the analog of the Banach contraction mapping principle for continuous self-mappings under certain conditions in the context of a partially ordered set. In this paper [], the ... See full document

... Bhaskar and Lakshmikantham [] defined and studied the concepts of a mixed mono- tone property and a coupled fixed point in a partially ordered metric space. Quite recently, the notions of the mixed ... See full document