Abstract
We introduce the notion of cyclic weakly Chatterjea type contraction and generalized cyclic weakly Chatterjea type contraction in metric spaces. We discussed the existence of fixed point theorems of (generalized) cyclic weakly Chatterjea type contraction mappings in the context of complete metric spaces. Our main theorems extend and improve some fixed point theorems in the literature.
Highlights
Introduction and PreliminariesCelebrated Banach’s contraction mapping principle is one of the cornerstones in the development of nonlinear analysis
Karapınar 10 introduced the notion of the cyclic weak φ-contraction and proved fixed point theorems for these types of contractions
We introduce the notions of cyclic weakly Chatterjea type contractions and generalized cyclic weakly Chatterjea type contractions and derive fixed point theorems on these cyclic contractions in the setup of complete metric spaces
Summary
We introduce the notion of cyclic weakly Chatterjea type contraction and generalized cyclic weakly Chatterjea type contraction in metric spaces. We discussed the existence of fixed point theorems of generalized cyclic weakly Chatterjea type contraction mappings in the context of complete metric spaces. Our main theorems extend and improve some fixed point theorems in the literature
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