[PDF] Top 20 Some fixed point results of integral type and applications

... In 2008, Suzuki [3] introduced a new method on the problem and the method was further extended by some authors; see, for example, [4-7]. The following result was proved in [8]. Theorem 1.3. Let (X, d) be a ... See full document

... for some c ∈ X either supremums or infimums of { c,x } exist for each x ∈ X, then G has maximal or minimal fixed points, and least or greatest fixed points in certain order intervals of ...X. ... See full document

... of fixed points for contractive mappings of integral type in complete metric spaces are ...As applications, the existence, uniqueness and iterative approximations of solutions for a class of ... See full document

... our results. To end with, as applications of the presented theorems, we achieve fixed point re- sults for a generalized contraction of integral type and we prove an existence theorem for ... See full document

... contains some general common fixed point theorems for Caristi type ...derive some results on the existence of common fixed points for a Banach operator pair from the set ... See full document

... pivotal results of nonlinear analysis, which asserts that every contraction mapping defined on a complete metric space (M, d) to itself admits a unique fixed ...new type of contractive mappings known as θ ... See full document

... common fixed point theorems for commuting ...their fixed points. As applications, we establish an integral version of these ...new type of integral ... See full document

... common fixed point theorems for a pair of mappings in this class, satisfying a weakly compatible ...nonlinear integral equations on the space of continuous functions and in some of its ... See full document

... Common fixed point for Altman type mapping has been discussed by Garbone and Singh [2] and Li and Gu [3] in metric ...common fixed point theorem for Altman integral type ... See full document

... proved some fixed point theorems in random fuzzy metric spaces for integral type mappings using the concept of faintly compatible pair of ...Our results are motivated by Wadhwa ... See full document

... proved fixed point theorems for contractive map in Modular ...of fixed points converge to the fixed points in a weaker sense as compared to metric ...introduced some notions and ... See full document

... of fixed point of the monotone mappings is obtained under certain additional conditions on the domain space such as lattice structure of the partially ordered space under consideration and these ... See full document

... common fixed point theorem of Gregus type for four mappings satisfying a strict general contractive condition of integral ...known fixed point results generalized and ... See full document

... prove some common fixed point the- orems for multivalued mappings and we present some new gener- alization contractive conditions under the condition of weak com- ...Our results extends ... See full document

... The existence and uniqueness of solutions of functional equations and system of func- tional equations arising in dynamic programming have been studied by using various fixed point theorems (see [12,16,17] ... See full document

... creates some difficulties, the Tychonov fixed point theo- rem appears as a good ...existence results for differential and integral equations [, ...fixed point theorem for the weak topology ... See full document

... Furthermore, applications to integral equations in a Banach space were ...a fixed point theorem of Krasnosel’skii ...main results will be presented in Sections 3 and ...the ... See full document

... In 1986, S. G. Matthews [2] introduced some concepts of metric domains in the context of domain theory. In 2000, P. Hitzler and A.K. Seda [3] introduced the concept of dislocated topology where the initiation of ... See full document

... fixed point of multivalued mapping is ...fixed point theorem in complete metric space with a convex structure is ...satisfy some integral type of ... See full document

... Afterwards, many authors continued the study of Branciari and obtained many fixed point theorems for several classes of contractive mappings of integral type; see, e.g., [– ] and the references ... See full document