Fixed point theorems on S-metric spaces
Shaban Sedghi, Nguyen Van Dung (2014)
Matematički Vesnik
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Displaying similar documents to “A generalization of fixed point theorems in -metric spaces”
Fixed point theorems on S-metric spaces
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In this work we consider two hyperconvex diversities (or hyperconvex metric spaces) (X, δX) and (Y, δY ) with nonempty intersection and we wonder whether there is a natural way to glue them so that the new glued diversity (or metric space) remains being hyperconvex. We provide positive and negative answers in both situations.
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Common fixed point theorem in probabilistic quasi-metric spaces.
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The universal separable metric space of Urysohn and isometric embeddings thereof in Вanach spaces
M. Holmes (1992)
Fundamenta Mathematicae
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This paper is an investigation of the universal separable metric space up to isometry U discovered by Urysohn. A concrete construction of U as a metric subspace of the space C[0,1] of functions from [0,1] to the reals with the supremum metric is given. An answer is given to a question of Sierpiński on isometric embeddings of U in C[0,1]. It is shown that the closed linear span of an isometric copy of U in a Banach space which contains the zero of the Banach space is determined up to...