[PDF] Top 20 15. Coupled fixed point theorems in partially ordered metric space depended on another function

... a coupled fixed point and proved some coupled fixed point theorems for mixed monotone mappings and discuss the existence and uniqueness of the so- lutions for periodic boundary value ... See full document

... quasi metric space (where the condition of symmetry in dropped) and then Kelly [30] developed the concept of a quasi metric ...quasi metric spaces, see [23, 33, 38]. Many fixed ... 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 spaces. Several ... 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. They ... 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

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

... common coupled fixed point theorems for two hybrid pairs of mappings satisfying an implicit relation under the conditions of weakly commuta- tivity and w−compatibility on a complete ... See full document

... A partial order is a binary relation ≼ over a set X which is reflexive, antisymmetric, and transitive. Now, let us recall the definition of the monotonic function f : X ® X in the partially order set (X, ≼ ... See full document

... presented coupled fixed point theorems for contractions in partially ordered metric ...to coupled coincidences. For more related work on coupled coincidences we ... 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

... 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

... proximity point results in many ways (see in [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, ...proximity point in the setting of partially ordered metric spaces has been considered in ... 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

... fixed theorems in partially ordered complete metric spaces have appeared as a generalization of existing (usual) fixed point ...(common) coupled fixed theorems are either ... See full document

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

... Definition . (See []) 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 ... See full document

... prove coupled fixed point theorems of multivalued mappings in partially ordered met- ric spaces by utilizing the combination of multivalued monotone iterative technique and ... See full document

... some coupled fixed point theorems for mapping having the mixed monotone property in partially or- dered metric sapces which are generalization of the main results of Bhaskar and ... See full document

... Proof. Putting α = β = 1 2 in Theorem 3.1, we can conclude the desired conclusion immediately. Corollary 3.3. Let (X , ≤) be a partially ordered set and suppose that there is a G-metric on X such ... See full document

... 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