PPF Dependent Fixed Points of Generalized Weakly Contraction Maps Via $c_g-$simulation Functions

Authors : G V R BABU, Madugula VİNOD KUMAR

Pages : 66-88

View : 22 | Download : 11

Publication Date : 2019-10-30

Article Type : Research Paper

Abstract :In this paper, we introduce the notion of generalized weakly  $Z_{G,\alpha,\mu,\xi,\eta,\varphi}-$contraction maps with respect to the $C_G-$simulation function and prove the existence of  PPF dependent fixed points of nonself maps in Banach spaces. For such maps, PPF dependent fixed points may not be unique. We provide an example  to illustrate this phenomenon.
Keywords : alpha admissible, mu subadmissible, C class function, Razumikhin class, PPF dependent fixed point, simulation function, C G simulation function