Ordered Vectorial Quasi and Almost Contractions on Ordered Vector Metric Spaces

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.

Keywords

• fixed point
• Riesz space
• partial ordered metric spaces
• vector metric space
• almost contractions
• ordered quasi contractions