Approximation of a zero point of monotone operators with nonsummable errors
Takanori Ibaraki · Fixed Point Theory and Applications · 2016
Abstract In this paper, we study an iterative scheme for two different types of resolvents of a monotone operator defined on a Banach space. These resolvents are generalizations of resolvents of a monotone operator in a Hilbert space. We obtain iterative approximations of a zero point of a monotone operator generated by the shrinking projection method with errors in a Banach space. Using our result, we discuss some applications.