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

Jeremiah Nkwegu Ezeora

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.

Full Text: PDF

How to Cite this Article:

Jeremiah Nkwegu Ezeora, Strong convergence theorem for monotone operators and strict pseudo-nonspreading mapping, Advances in Fixed Point Theory, Vol 8, No 3 (2018), 259-273

Copyright © 2018 Jeremiah Nkwegu Ezeora. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Advances in Fixed Point Theory

ISSN: 1927-6303

Editorial Office: office@scik.org

Copyright ©2018 SCIK Publishing Corporation. All rights reserved.