Tricyclic mappings: revisited

Abstract

Abstract In order to study the existence of best proximity points of a ( T ) $\left ( T\right ) $ condition satisfying mapping, we introduce a new interesting notion of triangular projection in geodesic metric spaces. Using the famous Schauder fixed point theorem, we obtain a best proximity point result for such mappings.

Keywords

• Best proximity point
• Tricyclic contractions
• CAT ( 0 ) $\mathrm{CAT}(0)$ spaces