doiSerbia

Some fixed point results in a strong probabilistic metric spaces

Karaklić Danijela (Department of Fundamental Sciences, Faculty of Technical Sciences, University of Novi Sad)
Gajić Ljiljana (Department of Mathematics and Informatics, Faculty of Science, University of Novi Sad)
Ralević Nebojša M. (Department of Fundamental Sciences, Faculty of Technical Sciences, University of Novi Sad)

In this paper we introduced the concept of strong probabilistic metric spaces (sPM spaces) and we show some of its basic properties. In this frame we present several fixed point results for mappings of contractive type. Our results generalize and unify several fixed point theorems in literature. Finally, we give some possible applications of our results.

Keywords: fixed point, Menger probabilistic metric space, strong probabilistic metric space

Projects of the Serbian Ministry of Education, Science and Technological Development, Grant no. 174024 and Grant no. 174009