[PDF] Top 20 Fixed Point of Hardy Rogers Contractive Mappings in Partially Ordered Partial Metric Spaces

... 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 ... See full document

... tripled fixed point for single valued mappings in partially ordered metric ...tripled fixed point of single-valued mappings in partially ... See full document

... We conclude the article with some examples which illustrate the obtained results. Example 2.11. Let X = [0, 1] be endowed with usual order and let p be the complete partial metric on X defined by p(x, y) = ... 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

... A fixed point theorem for mappings satisfying a contractive condition of rational type on a partially orderedmetric space, Abstract and Applied Analysis, 2010 (2010), Article ID ... See full document

... proximity point represents an optimal approximate solution to the equation T x = x whenever a non-self-mapping T has no fixed ...a fixed point coincides with a best proximity point if ... See full document

... Definition 3. 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 F (x, y) is monotone g-non-decreasing in x and ... 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

... Later on, Lakshmikantham and Ciríc [8] proved coupled coincidence and coupled common fixed point theorems for nonlinear contractive mappings in partially ordered complete metric spaces..[r] ... See full document

... coupled fixed point for single-valued mappings and established some coupled fixed point results and found its application in the existence and uniqueness of solution for periodic ... See full document

... fixed point theorem is obtained for a monotone self-map in a 0-complete ordered partial metric space under Hardy-Rogers-type contractive ...in ordered partial ... See full document

... Theorem 2.1. Let (X, ≼) be a partially ordered set and suppose that there exists a metric d on X such that the metric (X, d) is complete. Let f : X ® X be a non-decreasing continu- ous mapping ... See full document

... coupled fixed point of a mapping F : X ×X → X and investigated some coupled fixed point theorems in partially ordered ...cone metric spaces. They investigated some ... See full document

... coupled fixed point results in (ordered) metric spaces to the respective results for mappings with one variable, even obtaining more general ...coupled fixed point ... See full document

... In , the Banach contraction principle were extended to metric space endowed with partial order by Ran and Reuring []. They pointed out that the contractivity condition on the nonlinear and monotone map ... See full document

... fixed point theory is the Banach- Caccioppoli contraction [] mapping principle, a power tool in ...different spaces by mathematicians over the years (see [–] and references mentioned ...fixed point ... See full document

... do not extend the notion of tripled coincidence point by Berinde and Borcut []. There- fore, their results are not extensions of the well-known results in the tripled case. This fact shows that the odd case is ... See full document

... Theorem . Let (X, ≤) be a partially ordered set and suppose there is a metric d on X such that (X, d) is a complete metric space. Let F : X × X → X be a mapping such that F has the mixed ... See full document

... Tripled fixed point theorems for monotone mappings in partially ordered metric spaces, Carpathian ...monotone mappings in partially ordered ... See full document

... Weakly contractive mappings and mappings satisfying other weak contractive inequali- ties have been discussed in several works, some of which are noted in ...Hilbert spaces [] was ... See full document