In this paper we shall establish sufficient conditions for the existence of solutions of some differential equation and its solvability in C L , subset of the Banach space (C[a, b], •). The main tool used in our study is the nonexpansive operator technique.

Starting from the current context, of the transition of educational activities in the online environment, we will try to outline some aspects that e-learning covers. Through this study, we aim to synthesize the general perception of those involved in the Romanian education system, where it was possible to obtain relevant information. Based on the online discussions with the students, as well as based on the meetings we had with colleagues, we decided to present the perception of the interviewees regarding online education. Equally, following the answers received, we aimed to expose the favorable (pros) and less favorable (cons) aspects of the transition to e-learning in the Romanian education system. Their exemplification was made taking into account the options of the main actors involved in education; for each of them (teachers or formators, students, parents) the possible benefits or disadvantages were highlighted in relation to the education carried out exclusively online.

In this paper, some properties of subtractive ideal of (n,m)-semirings are investigated. In addition, we study the morphisms of (n, m)-semirings starting from the definitions given in the case of universal algebras. We will present several theorems of correspondence for sub-(n, m)-semirings, ideals, subtractive ideals that represent the generalization of the morphism theorems of the binary case.

The aim of the present paper is to establish an existence result (Theorem 2.1) as well as an estimation result (Theorem 2.2) for a functional equation in three variables.

In this paper we present one result relative to existence of solutions of the functional Fredholm integral equation with deviating argument by nonexpansive operators technique ... in a subset of a Banach space.