Fixed point results of various cyclic contractions in metric spaces -by G V R Babu, K K M Sarma, V A Kumari and P Sudheer Kumar

# Fixed point results of various cyclic contractions in metric spaces-by G V R Babu, K K M Sarma, V A Kumari and P Sudheer Kumar

Abstract: In this paper, we introduce various cyclic contractions, namely $\varphi$-cyclic contractive mapping, almost Geraghty cyclic contraction mapping and almost $\psi$-cyclic contraction mapping. We prove the existence of fixed points of these maps in complete metric spaces. We draw some corollaries and provide examples in support of our results. Our results generalize the results of Kirk, Srinivasan and Veeramani [12].

Keywords: $\varphi$-cyclic contractive mapping, almost Geraghty cyclic contraction mapping, almost $\psi$-cyclic contraction mapping, fixed point.