Bourquin, Steven; Zsilinszky, Laszlo(Editorial Universitat Politècnica de València, 2014-04-07)
[EN] It is the purpose of this paper to show how to use approach spaces to get a unified method of proving Baireness of various hyperspace topologies. This generalizes results spread in the literature including the general ...
[EN] The purpose of this paper is two fold. Firstly, using the notion of weak reciprocal continuity due to Pant et al. Weak reciprocal continuity and fixed point theorems, Ann. Univ. Ferrara Sez. VII Sci. Mat. 57(1), 181-190 ...
Sultana, Asrifa; Vetrivel, V.(Editorial Universitat Politècnica de València, 2014-04-07)
[EN] In this article we establish the existence of a unique best proximity point for some generalized non self contractions on a metric space in a simpler way using a geometric result. Our results generalize some recent ...
Lazaar, Sami; Mhemdi, Abdelouaheb(Editorial Universitat Politècnica de València, 2014-04-07)
[EN] In [12], the authors give an explicit construction of the T0−ordered reflection of an ordered topological space (X, τ,≤) . All ordered topological spaces such that whose T0−ordered reflections are T1−ordered spaces ...