Document Type : Research Paper

Author

• Sushanta Mohanta

West Bengal State University, Barasat, 24 Parganas(North), Kolkata-700126, West Bengal, India

Abstract

The main purpose of this paper is to obtain sufficient conditions for existence of points of coincidence and common fixed points for three self mappings in $b$-metric spaces. Next, we obtain cone $b$-metric version of these results by using a scalarization function. Our results extend and generalize several well known comparable results in the existing literature.

Keywords

• Cone $b$-metric space
• scalarization function
• point of coincidence
• Common fixed point