Strong convergence theorem for monotone operators and strict pseudo-nonspreading mapping

Abstract

In this paper, based on the recent results of Osilike et al. [9] and motivated by the results of Liu et al. [10] and Takahashi et al. [13], we introduce an iterative sequence and prove that the sequence converges strongly to a common element of the set of fixed points of strict pseudo-non spreading mapping, T and the set of zeros of sum of an α−inverse strongly monotone mapping A and a maximal monotone operator B in a real Hilbert space. Our results improve and generalize many recent important results.