[PDF] Top 20 Coupled fixed point theorems for partially contractive mappings

... of coupled fixed point theorems has recently attracted some authors (see ...fixed point theorems have been recently considered over partial metric spaces [, ...a coupled partial ... See full document

... of partially ordered complete metric ...of coupled (tripled or quadruple) coincidence point, the authors constructed two (three or four) Cauchy sequences using the properties of mixed monotone ... See full document

... In this paper, we show that coupled fixed point results of Mursaleen et al. [] can be obtained by usual fixed point theorems. Moreover, by giving an example, we conclude that the main result ... See full document

... of coupled fixed points in cone metric spaces and established some coupled fixed point theorems in cone metric ...proved coupled coincidence and coupled common fixed point ... See full document

... Then there exist x ∈ X such that x Fx, x, that is, F admits a unique fixed point in X. Let φt kt, where 0 < k < 1, the following by Lemma 1, we get the following. Corollary 2 see 6. Let a ∗ b ≥ ab for ... See full document

... Thus (.) holds for ψ (t) = t for all t > , and we also see that F satisfies the g-mixed mono- tone property as well as F and g commute. Therefore, all the hypotheses of Theorem . are fulfilled. Then there exists a ... See full document

... some coupled fixed point theorems for a mixed monotone mapping in a partially ordered metric space which are generalizations of the results of Bhaskar and Lakshmikantham ...to ... See full document

... Theorem . Let (X, ≤) be a partially ordered set and suppose there is a metric d on X such that (X, d) is a complete metric space. Let F : X × X → X be a mapping such that F has the mixed monotone property. ... See full document

... common coupled fixed point theorem for hybrid pair of map- pings under weak ψ − ϕ contraction on a non-complete metric space, which is not partially ...find coupled coincidence ... See full document

... monotone mappings F(x, y) (see Examples  and  below), which possess coupled fixed points, for which no coupled fixed point theorem existing in literature can be ...those theorems (we ... See full document

... of mappings and prove some coupled common fixed point theorems for a contractive- type mappings with the mixed weakly monotone property in partially ordered metric ... See full document

... multivalued mappings (see [1, 4, 5, 10, 11, ...some contractive conditions has been the center of rigorous research activity since such mappings have many applications (see [2, 3, 9, 13, 14, ... See full document

... Throughout this article, (X, ≼ ) denotes a partially ordered set with the partial order ≼ . By x ≺ y, we mean x ≼ y but x ≠ y. If (X, ≼ ) is a partially ordered set. A mapping f: X ® X is said to be ... See full document

... Weakly contractive mappings and mappings satisfying other weak contractive inequali- ties have been discussed in several works, some of which are noted in ... See full document

... a coupled coincidence point and a coupled common fixed point of mappings satisfying almost generalized (ψ , φ, θ )- contractive condition in the setup of partially ordered ... See full document

... In , Edelstein [] proved an important version of the Banach contraction principle. In , Suzuki [] improved the results of Banach and Edelstein (see also [, ]). In re- cent years, cyclic contraction and ... See full document

... Afterwards, many authors continued the study of Branciari and obtained many fixed point theorems for several classes of contractive mappings of integral type; see, e.g., [– ] and the ... 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

... some coupled coincidence and coupled common fixed point theorems for nonlinear contractive mappings in partially ordered complete quasi-metric spaces with a ... See full document

... Tripled fixed point theorems for monotone mappings in partially ordered metric spaces, Carpathian ...coincidence theorems for monotone mappings in partially ordered ... See full document