Results 21 to 30 of about 117,160 (165)
The aim of this paper is to introduce new forms of quasi-contractions in metric-like spaces and initiate more general conditions for the existence of invariant points for such operators.
Maha Noorwali, Mohammed Shehu Shagari
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L-partial metrics and their topologies
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Yi Shi 0010, Chong Shen 0003, Fu-Gui Shi
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On Information Orders on Metric Spaces
Information orders play a central role in the mathematical foundations of Computer Science. Concretely, they are a suitable tool to describe processes in which the information increases successively in each step of the computation.
Oliver Olela Otafudu, Oscar Valero
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Fuzzy Partial Metric Spaces and Fixed Point Theorems
Partial metrics constitute a generalization of classical metrics for which self-distance may not be zero. They were introduced by S.G. Matthews in 1994 in order to provide an adequate mathematical framework for the denotational semantics of programming ...
Halis Aygün +3 more
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On the extension of a partial metric to a tree metric
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Guénoche, Alain +2 more
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On Banach fixed point theorems for partial metric spaces
In this paper we prove several generalizations of the Banach fixed point theorem for partial metric spaces (in the sense of O’Neill) given in, obtaining as a particular case of our results the Banach fixed point theorem of Matthews ([12]), and some well ...
Oscar Valero
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A partial semimetric on a set X is a function (x,y)↦p(x,y)∈\RR≥0 satisfying p(x,y)=p(y,x), p(x,y)≥p(x,x) and p(x,z)≤p(x,y)+p(y,z)−p(y,y) for all x,y,z∈X. We study here the polyhedral convex cone PSMETn of all partial semimetrics on n points, using computations done for n≤6.
Michel Deza, Elena Deza
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Recent Advances on the Results for Nonunique Fixed in Various Spaces
In this short survey, we aim to underline the importance of the non-unique fixed point results in various abstract spaces. We recall a brief background on the topic and we combine, collect and unify several existing non-unique fixed points in the ...
Erdal Karapınar
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A partial quasi-metric space \((X, p)\) consists of a set \(X\) and a distance function \(p: X\times X\to [0,\infty)\) satisfying (i) \(p(x, x)\leq\min\{p(x, y),p(y, x)\}\) whenever \(x,y\in X\), (ii) \(x= y\) iff \(p(x, x)= p(x, y)\) and \(p(y, y)= p(y, x)\) whenever \(x,y\in X\), (iii) \(p(x, z)+ p(y, y)\leq p(x, y)+ p(y, z)\) whenever \(x,y,z\in X\).
Hans-Peter A. Künzi +2 more
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Multivalued interpolative type contractions on partial metric spaces [PDF]
This article presents the interpolative fixed point theorem with reference to complete partial metric spaces, by taking the multi-valued contraction into account.
Sirajo Yahaya, Mohammed Shehu Shagari
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