[PDF] Top 20 Some fixed point theorems for pseudo ordered sets

... all fixed points of an order preserving map in a complete lattice constitutes a complete ...all fixed points of an order preserving map in a chain-complete poset forms a chain-complete ...and pseudo ... See full document

... dence point of the Meir-Keeler type contraction mappings in the context of partially ordered metric ...generalize some well-known results in the literature. We give some examples to illustrate ... See full document

... []. Some of such gen- eralizations are obtained via rational contractive ...tablished some fixed point results for a pair of rational contractive mappings in complex valued metric ...proved ... See full document

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

... Fixed point results in partially ordered metric spaces play a major role in proving the existence and uniqueness of solutions for some differential and integral ...such theorems was ... See full document

... of Fixed Point Theory against an extended mistake that can be found in some ...that theorems in the very recent paper (Wang in Fixed Point Theory ... See full document

... of fixed point theory in partially ordered metric spaces (see ...parallel, some generalizations of the Banach contraction fixed point theorem in a space with two metrics were ... See full document

... Example . Let X = {, , , }, ‘’ be a partial order relation on X defined by = {(, ), (, ), (, ), (, ), (, ), (, ), (, )}. Let A = {, , } and g : X → X be defined by g = , g = , g = , g = . ... See full document

... proved some fixed point theorems by us- ing c-distance in partially ordered cone metric ...partially ordered cone metric space and prove some fixed point ... See full document

... proximity point represents an optimal approximate solution to the equation T x = x whenever a non-self-mapping T has no fixed ...a fixed point coincides with a best proximity point if ... See full document

... fixed point the- orem, the famous contraction principle, which is one of the most important results of ...fixed point result in different areas of mathemat- ics and ...fixed point iterations and monotone ... See full document

... Definition . (Bhaskar and Lakshmikantham []) Let (X, ≤ ) be a partially ordered set and F : X × X → X. The mapping F is said to have the mixed monotone property if F is monotone non-decreasing in its first ... See full document

... an ordered metric; and therefore, every Banach space with the metric induced by its norm is an ordered metric space (where the metric d is defined by d(u, v) = u – v, for every u, v ∈ ... See full document

... Example 3.8. Let X {k, l, m} and ϑ {V ⊂ X × X : Δ ⊂ V }. Define p : X × X → R as px, x 0 for all x ∈ X, pk, l pl, k 2, pk, m pm, k 1 ve pl, m pm, l 3. Since definition of ϑ, V ∈ϑ V Δ and this show that the uniform space ... See full document

... passing the limit in (4.17), ¯ u = u ∗ . This is a contradiction. This completes the proof. From a theoretical viewpoint, it is of interest to discuss the single-valued version of Theorems 4.1 and 4.2, then in ... See full document

... give some examples such that two weakly increasing mappings need not be ...common fixed point theorem for two weakly increasing operators in partially ordered metric spaces using implicit ... See full document

... common fixed point for expansion ...fuzzy sets was introduced by Zadeh ...fuzzy sets and ...the fixed point theory in the fuzzy metric ...time some metric fixed ... 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 ...coupled fixed point ... See full document

... have.discuss some Properties of convex.structures.in pseudo multiplicative metric space and have applieditheseiproperties toiobtain alfixed point results in complete ... See full document

... corresponding fixed point ...various fixed point and common fixed point ...Also, some applications were obtained, in particular when dealing with differential and matrix ... See full document