Fixed point result in Menger spaces of p-cyclic ciric type contraction mappings

# Fixed point result in Menger spaces of p-cyclic ciric type contraction mappings

Abstract: In the present paper we give a generalization of Ciric[9] type fixed point results. We have used $p$-cyclic contraction in Menger spaces. This result is an instance of the use of $\Phi$-function introduced by Choudhury and Das[4]. We have given some corollaries to our theorem which are generalization of some existing results. We also given an example in support one of the corollary to the main theorem.

Keywords: Menger space, fixed point, $\Phi$-function, $\Psi$-function.