In [Fuzzy Sets and Systems 27 (1988) 385-389], M. Grabiec in- troduced a notion of completeness for fuzzy metric spaces (in the sense of Kramosil and Michalek) that successfully used to obtain a fuzzy version of Ba- nachs contraction principle. According to the classical case, one can expect that a compact fuzzy metric space be complete in Grabiecs sense. We show here that this is not the case,...

The sequential $p$-convergence in a fuzzy metric space, in the sense of George and Veeramani, was introduced by D. Mihet as a weaker concept than convergence. Here we introduce a stronger concept called $s$-convergence, and we characterize those fuzzy metric spaces in which convergent sequences are $s$-convergent. In such a case $M$ is called an $s$-fuzzy metric. If $(N_M,ast)$ is a fuzzy metri...

Stable partial metric spaces (or the equivalent invariant weightable quasi-metric spaces) form a fundamental concept in Quantitative Domain Theory. Indeed, all domains have been shown to be quantifiable via a stable partial metric (e.g. [22], [23], [26]). Monoid operations arise in Domain Theory in the context of power domains. These operations also arise naturally in a quantitative context and...

in this paper, we introduce a new concept of fuzzy generalizedcontraction and give a fixed point result for such mappings in the setting of fuzzy m-complete metric spaces. we also give an affirmative partial answer to a question posed by wardowski [d. wardowski, fuzzy contractive mappings and fixed points in fuzzy metric spaces, fuzzy set syst., {bf 222}(2013), 108-114].some examples are also g...

In this paper we generalize some results of fixed point theory to partial metric spaces by using methods in the context a new extension Ekeland?s variational principle. We provide corollaries unify our with other existing literature along same vein. Then, show that require existence assumptions weaker than those for well-known contractive maps, including ones sense Banach, Ciric, Song, Kannan a...

in this paper, we introduce the cone normed spaces and cone bounded linear mappings. among other things, we prove the baire category theorem and the banach--steinhaus theorem in cone normed spaces.

We investigate extensions of S. Solecki’s theorem on closing off finite partial isometries of metric spaces [11] and obtain the following exact equivalence: any action of a discrete group Γ by isometries of a metric space is finitely approximable if and only if any product of finitely generated subgroups of Γ is closed in the profinite topology on Γ. §

In this paper we generalize the multivalued contraction theorem of S. B. Nadler [8]. As corollaries we obtain fixed point theorems for a multivalued function in complete dislocated metric spaces and complete partial metric space. 1991 Mathematics Subject Classification: 54H25, 47H10