PREŠIĆ TYPE OPERATORS ON ORDERED VECTOR METRIC SPACES

Özeken Ç. C., Çevik C.

Journal of Science and Arts, vol.21, no.4, pp.935-942, 2021 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 21 Issue: 4
  • Publication Date: 2021
  • Doi Number: 10.46939/j.sci.arts-21.4-a05
  • Journal Name: Journal of Science and Arts
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.935-942
  • Keywords: Fixed point, Riesz space, ordered metric spaces, vector metric space, Presic type operators, FIXED-POINT THEOREMS, SETS
  • Gazi University Affiliated: Yes

Abstract

In this paper we present a fixed point theorem for order preserving Presic type operators on ordered vector metric spaces. This result extends many results in the literature obtained for Presic type operators both on metric spaces and partially ordered metric spaces. We also emphasize the relationships between our work and the previous ones in the literature. Finally we give an example showing the fact that neither results for Presic type contractions on metric spaces nor the results for ordered Presic type contractions on ordered metric space is applicable to it.