[PDF] Top 20 Coincidence point theorems for generalized contractions with application to integral equations

... fixed point theory. Because of its application in many disciplines such as computer sci- ence, chemistry, biology, physics, and many branches of mathematics, a lot of authors have improved, ... See full document

... Theorem . Under the hypotheses of Theorem ., suppose, in addition, that for every (x, y) and (x ∗ , y ∗ ) in X, there exists (u, v) ∈ X × X such that (F(u, v), F(v, u)) is comparable to (F(x, y), F(y, x)) and (F(x ∗ ... See full document

... matrix equations wherein the involved contractive condition is required to hold merely on elements which are comparable in the underlying partial ...fixed point theorem for an increasing mapping not ... See full document

... study contractions as they appear abundantly in a wide array of quantita- tive ...well-known application is in ordinary differential equations, par- ticularly, in the proof of the Picard-Lindelöf ... See full document

... of integral equations and apply the coincidence and common fixed point theorems for four mappings satisfying a ( ψ , α , β )-weakly contractive condition in ordered metric spaces to ... See full document

... fixed point theorems for T -strictly weakly isotone increasing mappings and relatively weakly increasing mappings in complete ordered metric ...presented theorems, we get hold of common fixed ... See full document

... corresponding coincidence point theorems in complete par- tially ordered Menger ...an application is given to show the validity of our ... See full document

... establish coincidence and fixed point theorems for mappings satisfying generalized weakly contractive conditions on the setting of ordered gauge ...Presented theorems extend and ... See full document

... Now a natural question arises whether Theorem . can further be generalized. In this paper, we answer this question affirmatively under tight minimal conditions. Our main result (Theorem .) also presents an ... See full document

... for contractions in partially ordered metric ...differential equations with periodic boundary conditions and some applications to linear and nonlinear matrix ... See full document

... celebrated theorems of the fixed point theory such as the Banach contrac- tion mapping principle [] from the point of view of ...ential equations, more precisely, of boundary value problems ... See full document

... proximity point theorems for generalized JSC- proximal contractions of the first and the sec- ond kinds in the setting of complete metric spaces, thereby ascertaining an optimal approximate ... See full document

... of coincidence point and common fixed point theorems for six self-mappings satisfying almost generalized (S, T)-contractive condition in the setup of partially ordered complete metric ... See full document

... In this paper we have introduced two new classes of mappings, namely, the cyclic gener- alized proximal contractions of the first kind, and of the second kind. As we have seen by the examples, these mappings are ... See full document

... The purpose of this paper is to prove some coincidence and common fixed point theorems for ordered Preši´c-Reich type contractions in ordered metric spaces. Results of this paper generalize and ... See full document

... In the multistage process, some functional equations arise in a natural way cf. Bellman 15 and Bellman and Lee 16; see also 17–19, 25. In this section, we study the existence of the common solution of the ... See full document

... V: Generalized contractions in quasimetric ...Fixed Point Theory, pp. 3-9 (1993) 26. Urs, C: Coupled fixed point theorems and ... See full document

... “Fixed point theorems for weakly contractive mappings in partially ordered sets,” Nonlinear ...“Fixed point theorems on ordered metric spaces and applications to Nonlinear beam ... See full document

... fixed point result for this new class of mappings in the set-up of metric ...fixed point theorems including the Banach con- traction ...fixed point theorems in partial met- ric ... See full document

... holds for all x, y, z, u, v, w ∈ X. Then F has a unique tripled fixed point of the form (u, u, u). Remark . Corollary . improves and extends Corollary . of Shatanawi and Pitea [], the contractive condition ... See full document