Ordered Vectorial Quasi and Almost Contractions on Ordered Vector Metric Spaces

ÖZEKEN Ç. C., ÇEVİK C.

MATHEMATICS, vol.9, no.19, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 9 Issue: 19
  • Publication Date: 2021
  • Doi Number: 10.3390/math9192443
  • Journal Name: MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Keywords: fixed point, Riesz space, partial ordered metric spaces, vector metric space, almost contractions, ordered quasi contractions, FIXED-POINT THEOREMS, SETS
  • Gazi University Affiliated: Yes

Abstract

In this paper, we define ordered vectorial quasi contractions. We show that ordered quasi contractions are ordered vectorial quasi contractions, but the reverse is not true. We also define ordered vectorial almost contractions and present fixed point theorems for this type of contractions. Hence, we disclose many results in the literature. With the help of examples, we illustrate the relationship between these two types of contractions and some others in the literature.