Nadler’s fixed point theorem in ν-generalized metric spaces

Abstract

Abstract We extend Nadler’s fixed point theorem to ν-generalized metric spaces. Through the proof of the above extension, we understand more deeply the mathematical structure of a ν-generalized metric space. In particular, we study the completeness of the space. We also improve Caristi’s and Subrahmanyam’s fixed point theorems in the space.

Keywords

• Nadler’s fixed point theorem
• ν-generalized metric space
• completeness
• Caristi’s fixed point theorem
• Subrahmanyam’s fixed point theorem