Fixed points results for various types of interpolative cyclic contraction

Abstract

In this paper, we introduce four new types of contractions called in this order Kannan-type cyclic contraction via interpolation, interpolative Ćirić-Reich-Rus type cyclic contraction, and we prove the existence and uniqueness for a fixed point for each situation.

Keywords

• cyclic mapping
• interpolative kannan
• fixed point
• metric space
• interpolative ćirić-reich-rus