[PDF] Top 20 Fixed point of generalized weakly contractive mappings in ordered partial metric spaces

... common fixed points of four maps satisfying generalized weak contractive conditions in the fra- mework of complete partial metric spaces endowed with a partial ... See full document

... and so Tz is a fixed point of S. By the uniqueness of a fixed point of S, Tz = z. Remark 2.1 If we have ϕ = 0, then ψ is nondecreasing and continuous, and φ is contin- uous in Theorem 2.1 (resp. Corollary ... See full document

... Definition 3.1. Let X, be a partially ordered set. A mapping f is called 1 a dominating map on X if x fx for each x in X and 2 a dominated map on X if fx x for each x in X. Example 3.2. Let X 0, 1 be endowed with ... See full document

... fixed point theorems for weakly contractive mappings defined in ordered metric-like ...fixed point results in ordered partial metric ... See full document

... coincidence point and common fixed point theorems in complete ordered metric spaces for mappings satisfying a contractive condition which involves two ... See full document

... Throughout this article, (X, ≼ ) denotes a partially ordered set with the partial order ≼ . By x ≺ y, we mean x ≼ y but x ≠ y. If (X, ≼ ) is a partially ordered set. A mapping f: X ® X is said to be ... See full document

... The contractive conditions on underlying functions play an important role for finding solutions of metric fixed point ...and generalized by several researchers in various spaces ... See full document

... partially ordered set and suppose that there exists a metric d on X such that the metric space (X, d) is ...strictly weakly increasing mappings which satisfy (1) with respect to ≼ , for ... See full document

... - metric space. In 1994, Matthews [20] introduced the concept of partial metric space in which the self distance of any point of space may not be ...[28] generalized the concept of ... See full document

... complete metric space. If f , g : X → X are generalized ϕ -weakly contractive mappings, then there exists a unique point u ∈ X such that u = fu = ...[] generalized it by ... See full document

... fixed point theorems for nonlinear contractive mappings having the mixed monotone property in partially ordered G-metric ...fixed point theorems are generalizations of the recent ... See full document

... of ordered partial b-metric ...such spaces. Using this lemma, we prove some fixed point and common fixed point results for ( ψ , ϕ )-weakly contractive ... See full document

... D-metric spaces are ...the generalized metric space structure which they called G-metric ...G-metric spaces and fixed point results, one can refer to the ... See full document

... partially ordered set. Suppose that there exists a partial metric p on X such that the partial metric space (X, p) is ...given mappings such that T and S are weakly ... See full document

... By assumption, (X , d) is bicomplete, hence (X , d s ) is complete. Moreover, since E and RE are join closed, we conclude by Theorem 2.14 that T, R and S have a unique common fixed point. Theorem 3.3. Let ... See full document

... Definition 2.4. [18] Let (X, ) be a partially ordered set and F : X × X → X and g : X → X be two mappings. Then F is said to have mixed g-monotone property if for any x, y ∈ X, F (x, y) is monotone ... See full document

... in metric fixed point theory in many studies (see, for example, ...of contractive mappings on closed convex sets of Hilbert spaces, called weakly contractive ... See full document

... Edelstein’s fixed point theorem ...different spaces, like complete metric spaces endowed with a partial order, b-metric space (metric type pace) and obtained many ... See full document

... Hilbert spaces [1]. It was subsequently ex- tended to metric spaces by Rhoades [30] and further generalized by several authors like Dutta and Choudhury [16], Popescu [28], Choudhury and Kundu ... See full document

... and generalized on many settings. One of the generalizations is a weakly contractive ...a metric space. A mapping f : X → X is said to be weakly contractive provided ... See full document