[PDF] Top 20 A note on ‘Coupled fixed point theorems for α-ψ-contractive-type mappings in partially ordered metric spaces’

... 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

... We have presented evidence, that is, Example . and Theorem ., that the results of Theorem . in [] have more limited area of application than some existing results in the literature. Moreover, the generalizations ... See full document

... and coupled fixed point for the contractive mapping F : X × X → X, where X is a par- tially ordered metric space, and proved some coupled fixed point theorems for a ... See full document

... partial metric space in which the self distance of any point of space may not be ...partial metric space by admitting negative ...partial metric space by introducing the notation of partial ... See full document

... their coupled fixed point theorem for map- pings with mixed monotone ...of coupled fixed point for various contractive type mappings was studied by several authors ... 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 ... 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 ... See full document

... established coupled fixed/coinci- dence point theorems for mappings F : X × X → X and g : X → X by defining the con- cept of the mixed g-monotone ... See full document

... a coupled coincidence point and a coupled point of coincidence for nonlinear contractive mappings in partially ordered metric spaces equipped with ... See full document

... a partially ordered set and suppose that there is a G-metric on X such that (X , G) is a complete G-metric ...two mappings such that F has the mixed g-monotone property for which there ... 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

... Nieto, JJ, Rodríguez-López, R: Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations.[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

... 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 ... See full document

... Fixed point theory became one of the most interesting area of research in the last fifty ...studied contractive type mappings on a complete metric space which are generalizations ... See full document

... a coupled coinci- dence point of the Meir-Keeler type contraction mappings in the context of partially ordered metric ... 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

... of α - ψ -contractive type mappings and established some fixed point theorems in complete metric ...of α ∗ - ψ -contractive multifunctions and ... See full document

... 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 ...a coupled coincidence point of F and ...a coupled coincidence point ... 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