Results 31 to 40 of about 3,221 (259)
Existence and Uniqueness of Fixed Point for Cyclic Mappings in Quasi-αb-Metric Spaces
InPrime, 2022 The fixed point theory remains the most important and preferred topic studied in mathematical analysis. This study discusses sufficient conditions to prove a unique fixed point in quasi-αb-metric spaces with cyclic mapping. The analysis starts by showing
Ainun Sukmawati Al Idrus +4 more
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Fixed Point Theorems on Complete Quasi Metric Spaces Via C-class and A-Class Functions [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this paper, we present some fixed point theorems for single valued mappings on $K$-complete, $M$-complete and Symth complete quasi metric spaces. Here, for contractive condition, we consider some altering distance functions together with functions ...
Mensur Yalcin, Hakan Simsek, Ishak Altun
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Ultra‐Quasi‐Metrically Tight Extensions of Ultra‐Quasi‐Metric Spaces [PDF]
Chinese Journal of Mathematics, 2015 The concept of the tight extension of a metric space was introduced and studied by Dress. It is known that Dress theory is equivalent to the theory of the injective hull of a metric space independently discussed by Isbell some years earlier. Dress showed in particular that for a metric space X the tight extension TX is maximal among the tight ...
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Applied General Topology, 2002 The domain theoretic notion of lifting allows one to extend a partial order in a trivial way by a minimum. In the context of Quantitative Domain Theory partial orders are represented as quasi-metric spaces. For such spaces, the notion of the extension by
M.P. Schellekens
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On quasi-metric and metric spaces [PDF]
Proceedings of the American Mathematical Society, 2009 Given a space X X with a quasi-metric
Paluszyński, Maciej, Stempak, Krzysztof
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Fixed point results for alpha-implicit contractions with application to integral equations
Nonlinear Analysis, 2016 Recently, Aydi et al. [On fixed point results for α-implicit contractions in quasi-metric spaces and consequences, Nonlinear Anal. Model. Control, 21(1):40–56, 2016] proved some fixed point results involving α-implicit contractive conditions in quasi-b ...
Nawab Hussain +2 more
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Τ-quasi-Cauchy spaces - a non-symmetric theory of completeness and completion
Applied General Topology, 2023 Based on the concept of Cauchy pair Τ-filters, we develop an axiomatic theory of completeness for non-symmetric spaces, such as Τ-quasi-uniform (limit) spaces or L-metric spaces.
Gunther Jäger
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On the Yoneda completion of a quasi-metric space
Theoretical Computer Science, 2002 The authors consider two notions for the completion of rather general classes of topological spaces: the Yoneda completion of generalized metric spaces and the Smyth completion. (Such considerations are motivated in part by earlier efforts to reconcile continuous domain theory and metric space theory within a common framework.) A net-theoretic version ...
Hans-Peter A. Künzi +1 more
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Best Proximity Point Theorems in Partially Ordered b-Quasi Metric Spaces
Mathematics, 2016 In this paper, we introduce the notion of an ordered rational proximal contraction in partially ordered b-quasi metric spaces. We shall then prove some best proximity point theorems in partially ordered b-quasi metric spaces.
Ali Abkar +2 more
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On a Generalization of Quasi-metric Space
, 2023 We find an extension of the quasi-metric (to be called $g$-quasi metric) such that the induced generalized topology may fail to form a topology. We show that $g$-quasi metrizability is a $g$-topologically invariant property of generalized topological spaces. Extending metric product and uniform continuity for $g$-quasi metric spaces, we note that a $g$-
Adhya, Sugata, Ray, A. Deb
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