Open AccessPREŠIĆ TYPE OPERATORS ON ORDERED VECTOR METRIC SPACES
Author(s) -
Çetin Cemal Özeken,
Cüneyt Çevik
Publication year - 2021
Publication title -
journal of science and arts
Language(s) - English
Resource type - Journals
eISSN - 2068-3049
pISSN - 1844-9581
DOI - 10.46939/j.sci.arts-21.4-a05
Subject(s) - metric space , mathematics , injective metric space , pure mathematics , type (biology) , convex metric space , metric (unit) , intrinsic metric , metric map , discrete mathematics , ecology , operations management , economics , biology
In this paper we present a fixed point theorem for order-preserving Prešić type operators on ordered vector metric spaces. This result extends many results in the literature obtained for Prešić 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 Prešić type contractions on metric spaces nor the results for ordered Prešić type contractions on ordered metric space is applicable to it.