İs, Melih; Karaca, İsmet(Universitat Politècnica de València, 2020-10-01)
[EN] Y. Rudyak develops the concept of the topological complexity TC(X) defined by M. Farber. We study this notion in digital images by using the fundamental properties of the digital homotopy. These properties can also ...
Bella, Angelo; Hrusak, Michael(Universitat Politècnica de València, 2020-10-01)
[EN] In this short note we prove the existence (in ZFC) of a completely regular countable disjointly tight irresolvable space by showing that every sub-maximal countable dense subset of 2c is disjointly tight.
Bisht, Ravindra K.; Rakocevic, Vladimir(Universitat Politècnica de València, 2020-10-01)
[EN] In this paper, we prove some new fixed point theorems for a generalized class of Meir-Keeler type mappings, which give some new solutions to the Rhoades open problem regarding the existence of contractive mappings ...
Bardyla, Serhii; Ravsky, Alex(Universitat Politècnica de València, 2020-10-01)
[EN] We investigate closed subsets (subsemigroups, resp.) of compact-like topological spaces (semigroups, resp.). We show that each Hausdorff topological space is a closed subspace of some Hausdorff ω-bounded pracompact ...
Fouladi, Farhad; Abkar, Ali; Karapinar, Erdal(Universitat Politècnica de València, 2020-10-01)
[EN] We introduce the notion of pointwise cyclic-noncyclic relatively nonexpansive pairs involving orbits. We study the best proximity point problem for this class of mappings. We also study the same problem for the class ...