• SOME COMMON FIXED POINT THEOREMS WITH PPF DEPENDENCE IN BANACH SPACES

MANI SHARMA*, Dr. CHITRA SINGH

Abstract


In this paper, we establish the results concerning the existence of common fixed points with PPF dependence for the pairs of operators in Banach spaces satisfying a new inequality initiated by Constantin [6]. The novalty of the present work lies in the fact that the domain and the range spaces of the operators are not same and the results are obtained via constructive method. Our results extend and unify the results of Bernfeld et al. [2], Dhage [7], Sintunavarat and kumam [14] and many others.


Keywords


PPF dependent fixed point, PPF dependent coincidence point, Razumikhin class.

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