... in metricspaces and proved that all normed spaces and their convex subsets are convexmetric ...the convexmetricspaces which are not embedded in any ...
... A metric space (X, d) together with a convex structure W is called a convexmetric space, which is denoted by (X, d, W ...its convex subsets are convexmetric ...a ...
... uniformly convexmetricspaces. Results stated for uniformly convexmetric space with a monotone modulus of convexity also hold if there is a lower semicontinuous from the right modulus ...
... in metricspaces and proved that all normed spaces and their convex subsets are convexmetric ...of convexmetricspaces 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 convexmetric 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 convexmetricspaces 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 metricspaces and studied some fixed point theorems for nonexpansive mappings in such ...A convexmetric space is a generalized ...a convexmetric space and convex ...
... this paper we consider quasicontraction nonself-mappings on Takahashi convexmetricspaces 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] ...
... 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 convexmetricspaces 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 convexmetricspaces satisfying Kannan-type mappings [10] which have been currently ...
... 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 ...