[PDF] Top 20 Retracted Article: Coupled fixed point theorems without continuity and mixed monotone property

... some coupled fixed point theorems for the mixed monotone operators F : X × X → X obtained in (Choudhury and Maity in ...the mixed monotone property with another ... See full document

... a coupled fixed point was firstly introduced and studied by Opoitsev [, ] and then by Guo and Lakshmikantham in ...of mixed monotone ...classical coupled fixed point ... See full document

... the coupled fixed point ...a coupled fixed ...the coupled fixed point of an operator F : X × X → X on a partially ordered metric space, Gnana-Bhaskar and Lakshmikantham [] reconsidered ... See full document

... fixed point theorems for a self-map on an S-metric ...a mixed weakly monotone pair of maps and proved some coupled common fixed point theorems for a contractive-type maps ... See full document

... main theorems to obtain a unique solution for a first-order or- dinary differential equation with periodic boundary ...of mixed monotone mappings and obtained some cou- pled fixed point ...fixed ... See full document

... fixed point theory is devoted to the study of coupled fixed points, introduced by Guo and Lakshmikantham [] in ...the mixed monotone property for con- tractive operators in two variables ... See full document

... Theorem 1.3. ([10]) Let (X, ≼ ) be a partially ordered set and suppose there exists a metric d on X such that (X, d) is a complete metric space. Let F : X × X → X be a continuous mapping having the mixed ... See full document

... access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly ...intellectual ... See full document

... in Fixed Point Theory is multidimensional fixed point results in the context of various abstract ...of coupled fixed point was extended to the higher dimensions by defining tripled, ... See full document

... fixed point theory has developed rapidly in partially ordered metric spaces, that is, metric spaces endowed with a partial ...a coupled fixed point and the mixed monotone ...some ... See full document

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

... Theorem 2.1. 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 having the mixed monotone property ... See full document

... a coupled fixed point (a notion introduced by Guo and Lakshmikantham) in the setting of partially or- dered metric spaces by introducing the notion of mixed monotone ... See full document

... the fixed point theory, has been in the center of long lasting fascination among the mathematicians interested in many branches of mathematics, especially in nonlinear analysis (see ...of mixed ... See full document

... the coupled coincidence point theorems for a w ∗ -compatible mapping in partially ordered cone metric spaces over a solid cone without the mixed g-monotone ...common ... See full document

... a coupled fixed point theorem of nonlinear contraction mappings in complete metric spaces without the mixed monotone property and give some examples of a nonlinear contraction ... See full document

... prove coupled common fixed point theorem for weakly compatible g-mixed monotone mapping satisfying ...E.A. property for φ-contraction, ψ - contraction. E.A. property buys ... 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

... Recall that if X, ≤ is a partially ordered set and F : X → X such that for x, y ∈ X, x ≤ y implies Fx ≤ Fy, then a mapping F is said to be nondecreasing. Similarly, a nonincreasing mapping is defined. Bhaskar and ... See full document

... of coupled fixed points for mixed monotone mappings in partially ordered metric spaces was firstly studied by Bhaskar and Lakshmikantham [7], where some applications to periodic boundary value ... See full document