Ghasemzadeh, S.; Namdari, M.(Universitat Politècnica de València, 2019-04-01)
[EN] Let SCF(X) denote the ideal of C(X) consisting of functions which are zero everywhere except on a countable number of points of X. It is generalization of the socle of C(X) denoted by CF(X). Using this concept we ...
Bella, Angelo; Hernández-Gutiérrez, Rodrigo(Universitat Politècnica de València, 2019-04-01)
[EN] In a paper by Bella, Tokgös and Zdomskyy it is asked whether there exists a Tychonoff space X such that the remainder of Cp(X) in some compactification is Menger but not σ-compact. In this paper we prove that it is ...
Ramírez-Páramo, Alejandro; Tenorio, Jesús F.(Universitat Politècnica de València, 2019-04-01)
[EN] The main aim of this paper is to present a technical result, which provides an algorithm to prove several cardinal inequalities and relative versions of cardinal inequalities related. Moreover, we use this result and ...
Izuchukwu, C.; Aremu, K. O.; Mebawondu, A. A.; Mewomo, O. T.(Universitat Politècnica de València, 2019-04-01)
[EN] The main purpose of this paper is to introduce a viscosity-type proximal point algorithm, comprising of a nonexpansive mapping and a finite sum of resolvent operators associated with monotone bifunctions. A strong ...
Rath, N.(Universitat Politècnica de València, 2019-04-01)
[EN] A Cauchy group (G,D,·) has a Cauchy-action on a filter space (X,C), if it acts in a compatible manner. A new filter-based method is proposed in this paper for the notion of group-action, from which the properties of ...