Grecova, Svetlana; Sostak, Alexander; Uljane, Ingrida(Universitat Politècnica de València, 2016-10-03)
[EN] After the inception of the concept of a fuzzy metric by I. Kramosil and J. Michalek, and especially after its revision by A. George and G. Veeramani, the attention of many researches was attracted to the topology ...
Alamar, Miguel; Estruch, Vicente D.(Universitat Politècnica de València, 2002-04-01)
[EN] We give a new concept of fuzzy topological subspace, which extends the usual one, and study in it the related concepts of interior, closure and conectedness.
[EN] Fixed point theory in fuzzy metric spaces plays very important role in theory of nonlinear problems in applied science. In this paper, we prove an existence result of common fixed point of four nonlinear mappings ...
Ekmekçi, Ramazan; Ertürk, Rıza(Universitat Politècnica de València, 2016-04-12)
[EN] Graded ditopological texture spaces have been presented and discussed in categorical aspects by Lawrence M. Brown and Alexander Sostak (see bibliography). In this paper, the authors generalize the structure of difilters ...
Höhle, Ulrich; Porst, Hans-E.; Sostak, Alexander P.(Universitat Politècnica de València, 2000-10-01)
[EN] In research Works where fuzzy sets are used, mostly certain usual functions are taken as morphisms. On the other hand, the aim of this paper is to fuzzify the concept of a function itself. Namely, a certain class of ...
Jäger, Gunther(Universitat Politècnica de València, 2023-04-05)
[EN] 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. We show that the category of Τ-quasi-Cauchy ...