Fixed point theorems for cyclic contractions in S-metric spaces involving C-class function

Abstract

In this paper, we study the class of cyclic contractions in the setting of S-metric spaces involving C-class function and establish some fixed point theorems in the setting of complete S-metric spaces. We support our results with some examples. Our results extend and generalize several results from the existing literature (see, e.g., [3, 8, 9, 14, 15, 20] and many others) to the case of more general ambient space and contraction condition.

Keywords

• fixed point
• cyclic contraction
• s-metric space
• c-class function