[PDF] Top 20 Modified ψ-contractive mappings in ordered metric spaces and applications

... a ψ S -contractive condition is introduced in metric ...respective mappings are strictly weakly isotone increasing and that they satisfy the ψ S -contractive ...new ... See full document

... via ordered metric ...partially ordered sets has been considered re- cently in ...some applications to ordinary differential equations and to matrix equations are presented, ...a metric ... See full document

... Fixed point theory is a very useful tool in solving a variety of problems in control theory, economic theory, nonlinear analysis and global analysis. The Banach contraction principle [] is the most famous, simplest and ... See full document

... of ordered cyclic weakly (ψ , ϕ, L, A, B)-contrac- tions and then derive fixed point and common fixed point theorems for these cyclic con- tractions in the setup of complete ordered b-metric ... See full document

... different contractive conditions in complete metric spaces endowed with a partial order and studied fixed point theory in the so-called bistructural ...its applications, comparison of different ... See full document

... In the last decades, one of the most attractive research topics in fixed point theory was to prove the existence of fixed point on metric spaces endowed with partial orders. The first result in this direction ... See full document

... In this paper, we introduce a modified version of ordered partial b-metric spaces. We demonstrate a fundamental lemma for the convergence of sequences in such spaces. Using this lemma, we prove ... See full document

... Finally, the idea of present paper has originated from the study of an analogous problem examined by Salimi et al. [] and Samet et al. [] for single-valued contractive mappings and Hussain et al. [] ... 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 ... See full document

... Theorem  Let (X, ) be a partially ordered set and suppose that there exists a metric d on X such that the metric space (X, d) is complete. Let f : X → X be a strictly increasing continuous mapping ... See full document

... In , Guo and Lakshmikantham [] introduced the notion of a coupled fixed point. The concept of a coupled fixed point was reconsidered by Gnana-Bhaskar and Laksh- mikantham [] in . In this paper, they proved the ... See full document

... of metric spaces such as b-metric spaces, partial metric spaces, cone metric spaces, G-metric spaces, ... See full document

... - ψ -contractive mappings and establish new fixed point theorems for such mappings in complete metric ...and applications to integral equations are given here to illustrate the ... 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

... complete metric space. If f , g : X → X are generalized ϕ -weakly contractive mappings, then there exists a unique point u ∈ X such that u = fu = ... See full document

... partially ordered set and suppose that there exists a metric d on X such that the metric space (X, d) is ...increasing mappings which satisfy (1) with respect to ≼ , for all compar- able ... 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

... 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

... Theorem . Suppose that (X, d, ≤) is a partially ordered complete b-metric space. Let T : X × X −→ X be an almost generalized (ψ, φ, θ )-contractive mapping with respect to g : X −→ X, and T ... See full document

... for mappings satisfying a contractive condition of rational type on a partially orderedmetric space, Abstract and Applied Analysis, 2010 (2010), Article ID ...b−metric spaces, ... See full document