FIXED POINT THEOREMS FOR KANNAN TYPE CYCLIC WEAKLY CONTRACTIONS

E.  KARAPINAR; H. K.  NASHINE

FIXED POINT THEOREMS FOR KANNAN TYPE CYCLIC WEAKLY CONTRACTIONS

Authors

E. KARAPINAR Department of Mathematics, Atilim University, 06836, Incek, Ankara, Turkey
H. K. NASHINE Department of Mathematics, Disha Institute of Management and Technology, Satya Vihar, Vidhansabha-Chandrakhuri Marg, Mandir Hasaud, Raipur-492101(Chhattisgarh), India

Keywords:

Fixed point theory, Cyclic φ-contraction, Kannan type mapping

Abstract

In this article, we introduce the notion of Kannan Type cyclic weakly contraction and derive the existence of fixed point theorems in the setup of complete metric spaces. Our main theorems extend and improve some fixed point theorems in the literature. Examples are given to support the usability of the results.