[PDF] Top 20 Some fixed point results in ordered Gp-metric spaces

... various metric spaces endowed with a partial order and studied fixed point theory in the so-called bi-structured ...fixed point results, their applications, compari- son of different ... See full document

... partial metric space for which p is called the usual partial metric on ℝ - and where the self-distance for any point x Î ℝ - is its abso- lute ... See full document

... Hitzler and Seda [] investigated the useful applications of dislocated topology in the context of logic programming semantics. In order to obtain a unique supported model for these programs, they introduced the notation ... See full document

... Definition . ([]) Let (X, ) be a partially ordered set, F : X × X → X and g : X → X be mappings. Then the map F is said to have a mixed g-monotone property if F(x, y) is monotone g-non-decreasing in x as well ... See full document

... a metric space ...generalized metric space called G-metric space [9]. Fixed point theory in these spaces was studied in [4], Banach contraction mapping being the main ...many ... See full document

... fixed point of f if x = f (x, y) and y = f (y, ...of metric spaces, which provided powerful tools for solving complex problems; and therefore numerous interesting results on coupled fixed ... See full document

... cone metric space, where the set of real numbers is replaced by an ordered Banach space, and they have established some fixed point theorems for contractive type mappings in a normal ... See full document

... partially ordered metric space where (X, ≤) is a partially ordered set and (X, d) is a metric space for a given metric d on X ... See full document

... cone metric spaces, D-metric spaces, and G-metric spaces (see, ...on metric spaces satisfying certain new contractive ... See full document

... coupled fixed point of a mapping F : X × X → X was introduced by Gnana Bhaskar and Lakshmikantham in ...coupled fixed point results in different spaces such as usual metric ... See full document

... Fixed point theory in probabilistic metric spaces can be considered as a part of prob- abilistic analysis, which is a very dynamic area of mathematical ...probabilistic metric ... See full document

... of metric space, Mustafa and Sims [1] introduced the frame of G-metric ...various fixed point results were carried by different researchers in this ... See full document

... fixed point theorems for mappings which satisfy different contractive conditions; see [10-14] for more ...common fixed point theory in generalized metric ...obtained some ... See full document

... According to the above definition the condition (p) in the definition of [] changes to (m), and (p) is expressed for p(x, x) where p(y, y) =  may become p(y, y) = . Thus we improve that condition by replacing it by ... 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

... of fixed points in partially ordered sets has been considered recently in 1, and some generalizations of the result of 1 are given in ...1 some applications to matrix equations are presented, ... See full document

... coupled fixed point of a mapping F : X × X → X and investigated some coupled fixed point theorems in partially ordered complete metric ...various results on coupled ... See full document

... Example 2.3. Let X = [0, ∞) be equipped with the b-metric-like d(x, y) = (x + y) 2 for all x, y ∈ X , where b = 2. Define a relation on X by x y iff y ≤ x, the functions f , g : X → X by f x = ln(1 + 13 x ) and f ... See full document

... unique fixed point, provided that the metric space (X , d) is ...in metric spaces, 2-metric spaces and b 2 -metric spaces;see[2, Lemma ... 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