[PDF] Top 20 A generalization on weak contractions in partially ordered b metric spaces and its application to quadratic integral equations

... 23. Aghajani, A, Radenovi´c, S, Roshan, JR: Common fixed point results for four mappings satisfying almost generalized (S,T)-contractive condition in partially ordered metric spaces. Appl. ... See full document

... a b-metric space, which is a generalization of the usual metric space, and generalized the Banach contraction principle in the context of complete b-metric ...on ... See full document

... where ψ and are so-called control functions (see definition in Section 3). The usage of Jungck sequence is here also possible, but becomes more involved. Also, some applications were obtained, in particular when dealing ... See full document

... in partially ordered complete metric ...an application, we give an existence and uniqueness for the solution of an initial-boundary-value ... See full document

... Recent developments in fixed point theory have been encouraged by the applicability of the results in the area of boundary value problems for differential and integral equations. Especially in the last few ... See full document

... in partially ordered fuzzy metric spaces using weakly compatible ...are generalization and improvement of very recent theorems in the corresponding ... See full document

... Let (X, ≤) be a partially ordered set and G be a G-metric on X such that (X, G) is a complete G-metric space. Choudhury and Maity [] established some coupled fixed point theorems for the ... See full document

... analysis. Weak contractions are generalizations of Banach’s contraction mapping studied by sev- eral ...of weak contractions in complete metric spaces ...for weak contrac- ... See full document

... of partially ordered b-metric spaces are ...of ordered metric spaces to the setting of ordered b-metric ...of integral type in complete ... See full document

... tial equations to nonlinear optimization and related fields (see, for instance, ...to partially ordered metric spaces by Ran and Reuring [] in order to obtain a solution of a matrix ... See full document

... complete ordered b-metric ...and its extension. Moreover, an application to integral equations is given here to illustrate the usability of the obtained ... See full document

... -metric spaces and metric ...-metric spaces and metric spaces may be unrelated ...-metric spaces, the readers may refer to ... See full document

... in partially ordered sets,” Nonlinear ...Cojbaˇsi´c-Raji´c, B. Samet, and C. Vetro, “Fixed point theorems on ordered metric spaces and applications to Nonlinear beam ... See full document

... matrix equations and ordinary differential equations were presented in ...and integral equations were given in ...of ordered metric spaces as the extensions of Theorem ... See full document

... Fixed point theory has fascinated hundreds of researchers since 1922 with the cele- brated Banach’s fixed point theorem. This theorem provides a technique for solving a variety of applied problems in mathematical ... 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

... 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 ... See full document

... Ran and Reurings [] proved the analog of the Banach contraction mapping principle for continuous self-mappings under certain conditions in the context of a partially ordered set. In this paper [], the ... See full document

... Suppose that the assumption (a) or (b) holds. Using Theorem . with the mapping A, it follows that A has a coupled fixed point (u, v) ∈ g(X)× g(X), i.e., u = A(u, v) and v = A(v, u). Since (u, v) ∈ g(X) × g(X), ... See full document

... probabilistic metric spaces can be considered as a part of prob- abilistic analysis, which is a very dynamic area of mathematical ...probabilistic metric spaces was introduced in 1942 by ... See full document