Fixed Points Results for Various Types of Tricyclic Contractions

Abstract

In this paper, we introduce four new types of contractions called in this order Kanan-S-type tricyclic contraction, Chattergea-S-type tricyclic contraction, Riech-S-type tricyclic contraction, Cirić-S-type tricyclic contraction, and we prove the existence and uniqueness for a fixed point for each situation.

Keywords

• fixed points
• S-type tricyclic contraction
• metric spaces