Generalized contraction theorem in M -fuzzy cone metric spaces

Abstract

This work defines MM-Fuzzy Cone Metric Space, as a new metric space. It also analyzes possible forms of contractive conditions and groups them accordingly to set up generalized contractive conditions for self-mappings defined over MM-fuzzy cone metric spaces. We prove the existence of fixed points of these mappings and exhibit the same through a suitable example.

Keywords

• Fixed point
• Cone
• Triangular
• Fuzzy contractive
• Symmetric.