[PDF] Top 20 Suzuki-type fixed point results in metric type spaces

... cone metric spaces in [] (this notion was known under various names since the mid of the th century, see a survey in []), replacing the set of real numbers by an ordered Banach space as the codomain for ... See full document

... Assuming that the function η is continuous and satisfies the conditions i and ii above, Zhang 15 proved some fixed point results for single-valued maps which satisfy some contractive type ... See full document

... We use fixed point theory in many fields of mathematics. One of theese fields is mathematical opti- mization.Dynamic programing is useful for mathematical optimizationand it is related to a multistage ... See full document

... of metric spaces has been generalized in many ...of fixed point results for single and multi-valued mappings by many authors have been obtained in (ordered) b-metric ... See full document

... fixed point technique is one of the important tools with respect to studying the exis- tence and uniqueness of the solution of various mathematical methods appearing in the practical ...in metric space by ... See full document

... coupled fixed point theorems for a mapping satisfying mixed monotone property in partially ordered metric ...the results of ...coupled fixed point theorems in cone metric ... See full document

... above results, Kikkawa and Suzuki 7 provide a Kannan type version of the theorems mentioned ...Ciric type version. Recently, Kikkawa and Suzuki also provide multivalued versions which ... See full document

... where O(z) is an orbit of a point z ∈ X. From Remark . we know that T is an α- η-continuous mapping. Let α(x, y) ≥ η(x, y), then x, y ∈ O(z). So Tx, Ty ∈ O(z). That is, α(Tx, Ty) ≥ η(Tx, Ty). Therefore, T is an ... See full document

... 2008, Suzuki [15] introduced an interesting generalization of Banach fixed point theorem in a complete metric ...various spaces. In 2013, N. Shobkolaei et al. [16] proved some ... See full document

... Let (X, d) be a complete metric space and T : X → X be a mapping. If there exists k ∈ (, ) such that for all x, y ∈ X, d(Tx, Ty) ≤ kd(x, y), then T is said to be a contractive mapping. In , Polish ... See full document

... fixed point theorem, which generalizes the result of Wardowski and Van Dung ...complete metric space and let T : X → X be a generalized ...fixed point x ∗ ∈ X and for every x ∈ X the sequence {T n ... See full document

... A fixed point theorem for mappings satisfying a contractive condition of rational type on a partially orderedmetric space, Abstract and Applied Analysis, 2010 (2010), Article ID ...unique ... See full document

... PK: Fixed point theorems on generalized fuzzy metric ...fuzzy metric space. Fixed Point Theory ...fixed point theorems for fuzzy ...fuzzy metric on compact ... See full document

... point of f . In metric spaces, d(x, y) is always finite. Because of this reason, any contraction will have at most one fixed point. Moreover, the orbits of the contraction are all bounded. ... See full document

... Abstract. In this article, we proved a fixed point theorem of Ćirić-Pata type in metric space. This result extends several results in the existing literature. Moreover, an example is ... 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 ...generalized metric space called G-metric ...common ... See full document

... all fixed points of a self mapping T from X into itself by F(T), ...a fixed point of T then it is also a fixed point of T n for each nN, ... See full document

... new type of multivalued operators similar to those of Ciric-Suzuki ...fixed point theorem for multivalued maps on metric spaces satisfying Ciric-Suzuki-type inequality is ... See full document

... [–]). Suzuki-type fixed point theorems [, ] are the generalizations of the Banach contraction principle that characterize metric completeness of underlying ...systems. ... See full document

... We will now prove a generalization and an extension of Fisher’s theorem on four mappings from 18 to metric type spaces. Note that, unlike in 18, we will not use the case when f and S, as well as g ... See full document