[PDF] Top 20 Some Fixed Point Theorems on Ordered Metric Spaces and Application

... 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

... prove some coupled fixed point theorems for mapping having the mixed monotone property in partially ordered metric spaces, which are generalization of the main results of ... See full document

... coupled fixed point, and proved some coupled fixed point theorems for single valued mixed monotone ...Afterwards, some coupled fixed point theorems in ... See full document

... metric space with a metric d and usual order ≤. Clearly, condition (B) holds in X . We define p : X × X → [, ∞) by p(x, y) = y. Let φ(t) =   t and ψ (t) =   t. Assume that T : X → X by T x =  x for ... See full document

... fixed point for contraction type mappings in partially ordered metric spaces and aplications have been considered recently by many authors (see, for details, [2], [3], [4], [5], [13], [14], ... See full document

... prove some unique fixed point results for an operator T satisfying certain rational contraction condition in a partially ordered metric ... See full document

... Firstly, we give a modified version of the collection of auxiliary functions in the follow- ing way. Let denote the set of all lower semi-continuous functions ψ : [, ∞) → [, ∞) such that ψ(t) =  ⇔ t = . The following ... See full document

... generalized metric space with partial ordering and F : × X → X be a continuous random operator such that, for each ω ∈ , the function F(ω, ·) is a monotone (either order-preserving or order-reversing) ... 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

... Recently, Nieto and Rodriguez-Lopez [1,2], Ran and Reurins [3], Petrusel and Rus [4] presented some new results in partially ordered metric spaces. Their main idea was to combine the ideas of ... See full document

... of fixed points for certain mappings in ordered metric spaces has been studied by Ran and Reurings ...cone metric spaces by replacing the set of real numbers by an ordered ... See full document

... celebrated theorems of the fixed point theory such as the Banach contrac- tion mapping principle [] from the point of view of ...partially ordered metric ...in ordered ... See full document

... paper, some recent results established by Marin Borcut [M. Borcut, Tripled fixed point theorems for monotone mappings in partially ordered metric spaces, Carpathian ... See full document

... b-metric spaces are introduced. Moreover, the existence of some fixed point for such mappings in ordered b-metric spaces are ...Also, some examples are provided to ... See full document

... triple fixed point theorems in partially ordered metric spaces depended on another ...[Tripled fixed point theorems for contractive type mappings in ... See full document

... (y). Fixed point theorems for monotone op- erators in ordered metric spaces are widely investigated and have found various applica- tions in differential and integral equations ... See full document

... Theorem . In addition to the hypothesis of Theorem ., suppose that for all (x, y), (x ∗ , y ∗ ) ∈ (X × X), there exists (u, v) ∈ X × X such that (F(x, y), F(u, v)) is comparable with (F(x, y), F(y, x)) and (F(x ∗ , y ... 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

... Common fixed point theorems on expansion type mappings on complete metric spaces, Math____:.. Some fixed point theorems on expansion mappings, Math.[r] ... See full document

... the metric space can be obtained as a partial-metric space by replacing the condition d(x, x) =  with the condition d(x, x) ≤ d(x, y) for all x, y in the definition of the ...of metric space. Several ... See full document