@article{1ae25d46f59a49d6b160365e58a42500,
title = "A new approximation scheme for solving various split inverse problems",
abstract = "In this paper, we study the split equality problem for systems of monotone variational inclusions and fixed point problems of set-valued demi-contractive mappings in real Hilbert spaces. A new viscosity algorithm for solving this problem is introduced along with its strong convergence theorem. Several known theoretical applications, such as, split common null point problem for systems of monotone variational inclusions and fixed point problems, split equality saddle-point and fixed point problem are given. Two primary numerical examples which illustrate and compare the behavior of the new scheme, suggest that the method has a potential applicable value besides its theoretical generalization. Our work extends and generalizes some existing works in the literature as well as provide some new direction for future work.",
keywords = "Demi-contractive mapping, Variational inclusion problem, Viscosity approximation algorithm",
author = "A. Taiwo and Owolabi, {A. O.E.} and Jolaoso, {L. O.} and Mewomo, {O. T.} and A. Gibali",
note = "Funding Information: The authors sincerely thank the reviewers for their careful reading, constructive comments and fruitful suggestions that substantially improved the manuscript. The first author acknowledges with thanks the International Mathematical Union (IMU) Breakout Graduate Fellowship Award for his doctoral study. The third author acknowledges with thanks the bursary and financial support from Department of Science and Technology and National Research Foundation, Republic of South Africa Center of Excellence in Mathematical and Statistical Sciences (DST-NRF COE-MaSS) Doctoral Bursary. The fourth author is supported by the National Research Foundation (NRF) of South Africa Incentive Funding for Rated Researchers (Grant number 119903). Opinions expressed and conclusions arrived are those of the authors and are not necessarily to be attributed to the CoE-MaSS, IMU and NRF. Publisher Copyright: {\textcopyright} 2020, African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature.",
year = "2021",
month = jun,
doi = "10.1007/s13370-020-00832-y",
language = "English",
volume = "32",
pages = "369--401",
journal = "Afrika Matematika",
issn = "1012-9405",
publisher = "Springer Science + Business Media",
number = "3-4",
}