نتایج جستجو برای: dualistic partial metric
تعداد نتایج: 310081 فیلتر نتایج به سال:
Partial metrics constitute a generalization of classical for which self-distance may not be zero. They were introduced by S.G. Matthews in 1994 order to provide an adequate mathematical framework the denotational semantics programming languages. Since then, different works devoted obtaining counterparts metric fixed-point results more general context partial metrics. Nevertheless, literature wa...
In the present paper, we show the existence of a coupled fixed point for a non-decreasing mapping in partially ordered complete metric space using a partial order induced by an appropriate function $phi$. We also define the concept of weakly related mappings on an ordered space. Moreover common coupled fixed points for two and three weakly related mappings are also proved in the same space.
We show that the domain of formal balls of a complete partial metric space (X, p) can be endowed with a complete partial metric that extends p and induces the Scott topology. This result, that generalizes well-known constructions of Edalat and Heckmann (Theoret. Comput. Sci. 1998) and Heckmann (Appl. Cat. Struct. 1998) for metric spaces and improves a recent result of Romaguera and Valero (Math...
We introduce a new type of Caristi’s mapping on partial metric spaces and show that a partial metric space is complete if and only if every Caristi mapping has a fixed point. From this result we deduce a characterization of bicomplete weightable quasi-metric spaces. Several illustrative examples are given.
In this paper, we essentially deal with Köthe-Toeplitz duals of fuzzy level sets defined using a partial metric. Since the utilization of Zadeh's extension principle is quite difficult in practice, we prefer the idea of level sets in order to construct some classical notions. In this paper, we present the sets of bounded, convergent, and null series and the set of sequences of bounded variation...
partial frames provide a rich context in which to do pointfree structured and unstructured topology. a small collection of axioms of an elementary nature allows one to do much traditional pointfree topology, both on the level of frames or locales, and that of uniform or metric frames. these axioms are sufficiently general to include as examples bounded distributive lattices, $sigma$-frames, $ka...
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