[PDF] Top 20 Random fixed point theorems in partially ordered metric spaces

... such random equations have been presented in [, ] among ...for random mappings was initiated by the Prague school of probability ...with random kernel. In a separable metric space, ... See full document

... Definition 12. (See [16]) Let (X, ≤) be a partially ordered set and F : X ×X → X and g : X → X be mappings. Then F is said to have the mixed strict g-monotone property if F (x, y) is monotone g-increasing ... See full document

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

... Theorem . (See []) In addition to the hypothesis of Theorem ., suppose that for every (x, y), (x ∗ , y ∗ ) ∈ X × X, there exists (u, v) ∈ X × X such that (F(u, v), F(v, u)) is comparable to (F(x, y), F(y, x)) and ... See full document

... fixed point theorems for a k-variable isotone mapping, which include the unidimensional, coupled, tripled, and k-dimensional fixed point theorems as particular ... See full document

... generalized metric space called G-metric space, where to every triplet of elements a non-negative real number is assigned ...[28]. Fixed point theory in such spaces was studied in [27, ... See full document

... Corollary 3.5. Let (X , ≤) be a partially ordered set and suppose that there is a G−metric on X such that (X , G) is a complete G-metric space. Let F : X × X → X and g: X → X be two mappings ... See full document

... of fixed point in partially ordered sets has been considered recently in ...existence theorems for fuzzy differential ...some fixed point theorems for a mixed mono- ... See full document

... cone metric space was introduced by Haung and Zhang [8], replacing the set of real numbers by an ordered Banach ...considered fixed point theory in cone metric ...Several fixed ... 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

... of ordered sets were discussed by Wolk [] and Mon- jardet ...in partially ordered metric spaces was considered by Ran and Reurings ...on partially ordered metric ... See full document

... of metric spaces by considering vector-valued metrics cone metrics with values in an ordered real Banach ...some fixed point theorems in cone metric spaces showing ... See full document

... proximity point in the setting of partially ordered metric space in ([4, 38, 49, ...coupled fixed point theorems for mappings satisfying the mixed monotone property, which ... See full document

... above theorems, we first define the concept of proximal mixed g-monotone property and proximally tripled weak (ψ , φ ) contraction on ...of partially ordered metric ... 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

... many fixed point theorems for contraction mappings in partially or- dered probabilistic metric ...on fixed point theory in partially ordered probabilistic ... See full document

... fixed point theory was initiated in  by Gnana Bhaskar and Lak- shmikantham ...fixed point of certain operators in the context of a partially ordered set to solve a periodic boundary value ... See full document

... fixed point. Theorem . Let (X, ) be a partially ordered set and G be a G-metric on X such that (X, G) is a complete G-metric ... See full document

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

... Existence of a unique solution to a periodic boundary value problem for mixed monotone mapping on partially ordered metric spaces was studied in [6]. Also, recently this equation is considered ... See full document