convex metric spaces.
Common fixed points for some generalized contraction pairs in convex metric spaces
... 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 ...
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Some new results on cyclic relatively nonexpansive mappings in convex metric spaces
... 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 ...
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Fixed Points of Single- and Set-Valued Mappings in Uniformly Convex Metric Spaces with No Metric Convexity
... 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 ...
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ON COINCIDENCE POINTS OF GENERALIZED CONTRACTIVE PAIR MAPPINGS IN CONVEX METRIC SPACES
... 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 ...
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Fixed Points for Multivalued Mappings in Uniformly Convex Metric Spaces
... 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 ...
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SOME FIXED POINT RESULTS IN THE GENERALIZED CONVEX METRIC SPACES
... 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 ...
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Convergence Theorems for Asymptotically Quasi-Nonexpansive Type Mappings in Convex Metric Spaces
... 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 ...
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Fixed point theorems for N-generalized hybrid mappings in uniformly convex metric spaces
... 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 ...
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Fixed point theorems in convex metric spaces
... 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 ...
6
Quasicontraction nonself-mappings on convex metric spaces and common fixed point theorems
... 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 ...
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Approximating Fixed Points of Some Maps in Uniformly Convex Metric Spaces
... 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 ...
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An approximation of a common fixed point of nonexpansive mappings on convex metric spaces
... 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 ...
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On Equivalence of Some Iterations Convergence for Quasi-Contraction Maps in Convex Metric Spaces
... 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 ...
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On coincidence theorems for a family of mappings in convex metric spaces
... 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] ...
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An unified theorem for mappings in orbitally complete partial metric spaces
... in metric spaces, sym- metric spaces, quasi - metric spaces, b - metric spaces, ultra - metric spaces, convex metric spaces, ...
8
Vol 3, No 6 (2012)
... 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] ...
8
Common Fixed Points for Multimaps in Metric Spaces
... 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 ...
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Common fixed point theorems for nonself mappings in metrically convex spaces via altering distances
... 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 ...
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Generalized Asymptotic Pointwise Contractions and Nonexpansive Mappings Involving Orbits
... compact convex subsets of Banach spaces, respectively, in uniformly convex Banach ...of metric spaces and CAT0 ...uniformly convex metric ...
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Some common fixed point theorems for Gregus type mappings
... 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 ...
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