[PDF] Top 20 13. Remarks on coupled fixed point theorems in partially ordered metric spaces

... a 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

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

... of fixed-point property on partial ordered sets in ...[12, 13], extend results of [14], and applied them to the periodic boundary value problem, considering both monotone ...a fixed ... 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], ... See full document

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

... of metric fixed point ...a fixed point for contractive mappings in partially ordered metric spaces has attracted many mathematicians ( cf, [1] - [8]) and the ... See full document

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

... a coupled fixed point was introduced and studied by Guo and Lakshmikantham [18] and Bhaskar and Lakshmikantham ...various coupled and common coupled fixed point ... See full document

... a coupled fixed point in partially ordered metric spaces,also discussed some problems of the uniqueness of a coupled fixed point and applied their ... See full document

... some coupled fixed point theorems which has attracted the attention of many researchers ...on coupled fixed ...several coupled common fixed point ... 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

... b-metric spaces was introduced and studied by Bakhtin [11] and Czer- wik ...of metric-like ...b-metric-like spaces. Since the b-metric-like space is a natural generalization of ... 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

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

... some coupled fixed point theorems and applied these to study the existence and uniqueness of solution for periodic boundary value ...proved coupled coincidence and common coupled ... See full document

... of 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 ... See full document

... In this section, inspired by Wang’s paper [], we suggest a new theorem in the context of partially ordered metric spaces. We also underline that one can easily state the same theorem in the ... 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