Document Type : Research Paper

Author

• Sumit Chandok

School of Mathematics, Thapar University, Patiala-147004, Punjab, India

Abstract

In this paper, sufficient conditions for the existence of common fixed points for a compatible pair of self maps of Gregus
type in the framework of convex metric spaces have been obtained. Also, established the existence of common fixed points for a pair of compatible mappings of type (B) and consequently for compatible mappings of type (A). The proved results generalize and extend some of the well known results of the literature.

Keywords

• Common fixed point
• convex set
• commuting maps
• compatible maps
• compatible maps of type (A)
• compatible maps of type (B)
• affine map