Abstract. The aim of this paper is to present some best proximity results for multivalued cyclic operators satisfying aĆirić type condition. Our results extend to the multivalued case some recent results in the literature.Mathematics Subject Classification (2010): 47H04, 47H09, 54H25.

The purpose of this paper is to investigate the properties of someĆirić type generalized contractions defined on cyclic representations in a metric space.

The purpose of this paper is to study the coupled fixed point problem and the coupled best proximity problem for single-valued and multi-valued contraction type operators defined on cyclic representations of the space. The approach is based on fixed point results for appropriate operators generated by the initial problems.

In this paper we will prove a fixed point theorem of Perov type for cyclic contractions on complete generalized metric spaces. Then, as an application, we will study the existence, uniqueness and approximation of the solution for a system of integral equations.

The new Curriculum for preschool education in Romania, introduced in 2019, launches a challenge for educators: the active involvement of preschoolers in the activities carried out in kindergarten, their preparation for a social life based on cooperation, communication and action. One of the recommendations of the new curriculum is to organize the learning content in an integrated way. In this context, we intended to study how pre-school teachers’ approach in an integrated way the teaching of numeration through stories, their role and importance. The data were collected using the survey method based on a questionnaire in Google Drive. The questionnaire was completed voluntarily and anonymously by 101 teachers for preschool education. Over 88% of respondents consider that stories contribute to a large or to a very large extent to learning the numeration and that preschoolers are actively involved in learning activities in which stories are used, obtaining very good mathematical performances. Almost all preschool teachers who attended the study found the use of stories in learning to be very beneficial, even if they face to some difficulties, including the lack of a collection of consacrated stories for learning numeration.