[PDF] Top 20 Common fixed point theorems for generalized \(( \phi, \psi )\) weak contraction condition in complete metric spaces

... a complete metric space satisfies certain inequality by generalizing the contraction condition of Banach, but the inequality itself does not force the mapping to be ...fixed point theorem ... See full document

... of fixed point in partially ordered sets see 8–19, 21–36 and the references cited ...Banach contraction principle in partially ordered ...19 generalized their own results 18 by considering ... See full document

... coincidence point is also weakly compatible as the requirement of weak compatibility is met out ...in common fixed point considerations as opposed to a pair of weakly compatible ... See full document

... and common fixed points of pair of mappings sat- isfying cyclic contractive conditions has been the focus of vigorous research activity in the last ...new generalized cyclic contraction pairs in ... See full document

... a complete metric space and let f, g : X −→ X be two mappings which satisfy a (ψ − ϕ)-weak contraction condition or generalized (ψ − ϕ)-weak contraction ...unique ... See full document

... a contraction condition, Kumam et ...fixed point theorem in ...[] generalized the notion of a generalized F-contraction and proved some fixed point theorems for such ... See full document

... the condition of completeness of the metric space in the result of Kutbi and Sintunavarat [] by using the concept of α-completeness of the metric ...nonlinear contraction mapping which is not ... See full document

... of common fixed points of weakly compatible mappings, we often require the assumption of completeness of the space or subspace or continuity of mappings involved besides some contractive ...to common ... See full document

... Banach Contraction Mapping Principle appeared in explicit form in Banach’s thesis in 1922 ...Banach contraction principle has been extended in many different directions; see ...of weak ... See full document

... in fixed point theory is to show the existence of fixed points of cyclic contraction mappings in several ...b-metric spaces. There are number of generalizations of metric ... See full document

... a metric space have been proposed by some ...2-metric spaces. This is extended to D-metric space by Dhage (1992) [3, ...many fixed point theorems in D-metric ...of ... See full document

... M (x, y) = max{d(Sx, Sy), d(Sx, T x), d(Sy, T y)} (3.3) m(x, y) = min{d(Sx, T x) + d(Sy, T y), d(Sx, T y), d(Sy, T x)} (3.4) Then C(S, T ) 6= ∅ and the point of coincidence is unique. Further, if S,T are weakly ... See full document

... coupled common fixed point theorems in ordered generalized metric spaces for nonlinear contraction condition related to a pair of altering distance ... See full document

... fixed point theorem in a complete metric space which generalizes the Banach contraction ...Banach contraction principle and Caristi’s condition in a complete metric ... See full document

... fixed point theorems for generalized contractions in complete partially ordered metric spaces and applications to ordinary differential ...fixed point theorems for ... See full document

... endowed with partial order, which is not an immediate consequence of a well-known theorem in the literature. Also, we present a result on the existence and uniqueness of coupled common fixed points. The results ... See full document

... Theorem 3.1. Let (X, ≤) be a partially ordered set and suppose that there is a G-metric on X such that (X , G) is a complete G-metric space. Let F : X × X → X and g: X → X be two mappings such that F ... See full document

... Banach’s contraction principle for an integral type ...of contraction maps, called A-contractions, which is a proper generalization of Kannan’s mappings [], Bianchini’s mappings [], and Reich type ... See full document

... fixed point theorems for a k-variable isotone mapping, which include the unidimensional, coupled, tripled, and k-dimensional fixed point theorems as particular ... See full document

... type contraction was defined by Gordji et al. (Fixed Point Theory and Applications 2012:74, ...type contraction is equivalent to an existing related result in the ...(Fixed Point ... See full document