Fixed point theorem for Interpolative contraction of Suzuki type mappings in CAT (0) spaces

Abstract

In this work, we obtained a fixed point theorems ω−ψ−interpolative Hardy–Rogers contraction, ω−ψ−interpolative Kannan contraction and ω−ψ−interpolative Reich–Rus–Ciric type contraction for Suzuki generalized non-expansive mappings in the context of complete CAT(0) metric space. The novelty of this finding as to explore the interplay between the geometric properties of CAT (0) metric spaces and the analytical conditions imposed by Suzuki-generalized nonexpansive mappings.

Keywords

• Fixed point theorem
• Interpolation contraction
• Non-expensive mappings
• Suzuki type contraction
• CAT (0) spaces