Contractive mappings on a premetric space

Abstract

In this paper, we study the fixed point property of certain types of contractive mappings defined on a premetric space. The applications of these results to topological vector spaces and to metric spaces are also discussed.

Keywords

• premetric space
• sequentially ϕ-contractive mappings
• geometric mean contraction
• iteratively ϕ-contractive mapping
• topological vector space.