[PDF] Top 20 A note on some coupled fixed point theorems on G metric spaces

... fixed point in a complete metric ...fixed point for several contraction type mappings in various abstract ...of G-metric spaces as a generalization of (usual) metric ... See full document

... Recently, some (common) coupled fixed theorems in various abstract spaces have appeared as a generalization of existing (usual) fixed point ...(common) coupled fixed theorems ... See full document

... another coupled common fixed ...and G be a G-metric on X such that (X, G) is a complete G-metric space and (X, G, ) is ... See full document

... of metric space was introduced by Fréchet [] in ...analysis, metric spaces play a major ...which metric spaces have been extensively used to solve major prob- ...that metric ... See full document

... fixed point theory is the Banach- Caccioppoli contraction [] mapping principle, a power tool in ...different spaces by mathematicians over the years (see [–] and references mentioned ...fixed point ... See full document

... of metric spaces is one of the centers of interests in nonlinear functional anal- ...complete metric space (X, d) has a unique fixed point if there exists  ≤ k <  such that d(Tx, Ty) = ... 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

... 5. Reich, S: Some remarks concerning contraction mappings. Can. Math. Bull. 14, 121-124 (1971) 6. ´Ciri´c, L: Generalized contractions and fixed-point theorems. Publ. Inst. Math. (Belgr.) 12(26), ... See full document

... such spaces. Note that, unlike many other generalizations of metric spaces introduced recently, -metric spaces are not topologically equivalent to metric spaces ... See full document

... in fixed point theory to explore applications of Cantor type theorems as new contour instead of following Picard iterative schemes in generalized metric spaces like non symmetric ... See full document

... fixed point of f such that D(T ω, T ω ) < ∞ , then ω = ω ...generalized metric space, and let T, f : X → X be two mappings such that T is continuous, one-to-one, and sequentially ... See full document

... Remark 12 . The hypothesis of Theorem 11 does not ensure the uniqueness of the common fixed point for f and g. This can be seen by taking f and g as identity maps on X, K = 2, ϕ(t) = (1/2)t and Ψ(t) = ... See full document

... of coupled fixed point of mul- tivalued mappings in partially ordered metric spaces by using the combination of multivalued monotone iterative technique and multivalued contraction ... See full document

... a coupled fixed point and then by Guo et ...of coupled fixed point of a mapping in partially ordered set was introduced by Bhaskar et ...proved some coupled ... See full document

... Theorem  ([]) Let (X, ≤) be a partially ordered set and suppose that there exists a metric d on X such that (X, d) is a complete metric space. Let (X, ≤) be a partially ordered set and suppose that there ... See full document

... fixed point theory (see, e.g., [–]). In this section we prove some new fixed point results on expansive mappings in the setting of a b-metric-like ...extend some old and recent fixed ... See full document

... 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 x and is monotone g-non-increasing in y, that is, for any x, y ∈ ... See full document

... a metric space and A be a nonempty subset of X ...a fixed point of T ...a metric space (X, d), if T : A → X , then a best approximation theorem provides sufficient conditions that ascertain ... See full document

... and g have a unique common coupled fixed point of the form (u, ...quasi-partial metric space, g : X → X and F : X × X → X be two ... See full document

... Sims, Fixed point theorems for contractive mapping in complete G -metric spaces, Fixed Point Theory Appl. Sims, Some remarks concerning D -metric spaces, Proceedings International C[r] ... See full document