[PDF] Top 20 A new class of \(\mathcal{S}\)-contractions in complete metric spaces and \(\mathcal{G_{P}}\)-contractions in ordered metric spaces

... furnish new S -contractions and to derive a com- mon best proximity point theorem in the framework of metric spaces for the pair of non- self-mappings and to derive G P -contractions ... See full document

... partially ordered metric ...tially ordered complete metric spaces using mixed g-monotone ...linear contractions using two different approaches, first is based on Δ-symmetric ... See full document

... Geraghty contractions in partially ordered metric spaces by using an altering distance function without subadditivity and continuity is of present ... See full document

... The Banach fixed point theorem for contraction mappings has been extended in many directions cf. 1–28. Very recently Agarwal et al. 1 presented some new results for generalized nonlinear contractions in ... See full document

... The purpose of this paper is to obtain four best proximity point theorems for generalized contractions in partially ordered metric spaces. Further, our P-operator technique, which changes a ... See full document

... in ordered metric spaces besides introducing some new notions such as: the ICC property, DCC property, MCC property ...type contractions which enrich some recent results due to Alam et ... See full document

... In this paper, we prove a fixed point theorem for generalized weak contractions satisfying rational expressions in partially ordered metric spaces. The result is a generalization of a recent ... See full document

... Theorem  Let (X, d, ) be a partially ordered metric space which is complete and regular . Let (X, d, ) also satisfy condition (C). Assume that T : X → X satisfies x Tx ∀x ∈ X and F d(Tx, Ty), d(x, y), d(x, ... See full document

... In this article, we prove some existence and uniqueness results on coincidence points for g-increasing mappings satisfying generalized ϕ -contractivity conditions in ordered metric spaces. As an ... See full document

... The notion of a coupled fixed point is introduced by Bhaskar and Lakshmikantham []. Afterward Lakshmikantham and Ćirić in [] extended this notion by defining the g - monotone property in partially ordered ... See full document

... Example Let X be a nonempty set, S be a measurable space which consist of some metrics on the X, (, P) be a complete probabilistic measure space and f : → S be a measurable mapping. It is easy to think S is a random ... See full document

... partially ordered sets,” Nonlinear ...on ordered metric spaces and applications to Nonlinear beam equations,” Journal of Fixed Point Theory and its ...cone metric spaces,” Gazi ... See full document

... Theorem . was further extended and refined in [–, , , ]. These results are hybrid of the two fundamental classical theorems: Banach’s fixed point theorem (see []) and Tarski’s [] fixed point theorem. Our aim ... See full document

... Mustafa, Z, Aydi, H, Karapınar, E: Mixed g -monotone property and quadruple fixed point theorems in partially ordered metric spaces. Fixed Point Theory Appl[r] ... See full document

... a new type of a contractive condition defined on an ordered space, namely a P -contraction, which generalizes the weak ...in ordered metric ... See full document

... Remark . Theorem . can be considered as an answer to Theorem  in []. We find the sufficient conditions for the uniqueness of the common fixed point in the case of an ordered g-quasicontraction. In this paper, ... See full document

... introduce ordered quasicontractions and g-quasicontractions in partially ordered metric spaces and prove the respective coincidence point and (common) fixed point ...the new concepts ... See full document

... Theorem 3.2. Let (X, ≤) be a partially ordered set satisfying condition (??) and sup- pose that there exists a metric d in X such that (X, d) is a complete metric space. Let T: X ® X be a ... See full document

... of metric spaces or ordered metric spaces, coincidence point, and common fixed point theorems for self-mappings in a general class of contractions defined by an implicit ... See full document

... partially ordered sets has been con- sidered recently in [32], and some generalizations of the result of [32] are given in [1-3,5-7,11,12,14,15,17,19,24-27,29,30,39,40,43] in partial ordered metric ... See full document