... in **metric** **spaces** and proved that all normed **spaces** and their **convex** subsets are **convex** **metric** ...the **convex** **metric** **spaces** which are not embedded in any ...

... A **metric** space (X, d) together with a **convex** structure W is called a **convex** **metric** space, which is denoted by (X, d, W ...its **convex** subsets are **convex** **metric** ...a ...

... uniformly **convex** **metric** **spaces**. Results stated for uniformly **convex** **metric** space with a monotone modulus of convexity also hold if there is a lower semicontinuous from the right modulus ...

... in **metric** **spaces** and proved that all normed **spaces** and their **convex** subsets are **convex** **metric** ...of **convex** **metric** **spaces** which are not embedded in any ...

... a **metric** space X is said to be uniquely proximinal if each point x ∈ X has a unique nearest point in ...A **convex** **metric** space X is said to have property (C) if every decreasing sequence of nonempty ...

... Abstract. In this study, we introduce a new three step iteration process and show that the iteration process converges to the unique fixed point by two theorems under different conditions of contractive mappings on the ...

... Abstract. The aim of this paper to study a Noor-type iteration process with errors for approximating common fixed point of a finite family of uniformly L-Lipschitzian asymptotically quasi-nonexpansive type mappings in ...

... special **spaces** of uniformly **convex** **metric** **spaces** is a CAT() space; see ...uniformly **convex** in a certain sense but it is not a CAT() ...CAT() **spaces** was ﬁrst studied by Kirk ...

... in **metric** **spaces** and studied some ﬁxed point theorems for nonexpansive mappings in such ...A **convex** **metric** space is a generalized ...a **convex** **metric** space and **convex** ...

... this paper we consider quasicontraction nonself-mappings on Takahashi **convex** **metric** **spaces** and common fixed point theorems for a pair of maps. Results generalizing and unifying fixed point theorems ...

... In this note, we present results under relaxed control conditions which generalize the corresponding results of Kannan 9, Bose and Mukerjee 1, and Maiti and Ghosh 6 from uniformly **convex** Banach **spaces** to ...

... Sokhuma and Kaewkhao (2011) introduced an iteration scheme to compute a common ﬁxed point of a single-valued nonexpansive mapping and a multivalued nonexpansive mapping on a uniformly **convex** Banach space. In this ...

... complete **metric** space and T : E → E a mapping for which there exist the real numbers a, b, and c satisfying a ∈ 0, 1, b, c ∈ 0, 1/2 such that, for any pair x, y ∈ E, at least one of the following conditions ...

... of a convex metric space and as an application we shall obtain a theorem on coincidence points in metric spaces with a convex structure... First, we shall give two definitions and a prop[r] ...

... in **metric** **spaces**, sym- **metric** **spaces**, quasi - **metric** **spaces**, b - **metric** **spaces**, ultra - **metric** **spaces**, **convex** **metric** **spaces**, ...

... On the other hand, Takahanshi [14] introduced a notion of convex metric spaces, many authers have discussed the existence of fixed point and the convergence of iterative processes for[r] ...

... uniform **convex** **metric** **spaces** are unique geodesic; that is, for each two points there is just one geodesic joining ...the **metric** segment joining x and y is the geodesic joining both points and ...

... Recently, Assad [1] gave suﬃcient conditions for nonself-mappings defined on a closed subset of complete metrically **convex** **metric** **spaces** satisfying Kannan-type mappings [10] which have been currently ...

... compact **convex** subsets of Banach **spaces**, respectively, in uniformly **convex** Banach ...of **metric** **spaces** and CAT0 ...uniformly **convex** **metric** ...

... If I is an identity map, we have an immediate generalization of the Gregus fixed point theorem. Mukherjee and Verma [14] generalized Theorem 1.1 by replacing the linearity of I with a more general condition that I is ...