INERTIAL ITERATION SCHEMES FOR NONEXPANSIVE MAPS AND INCLUSION PROBLEMS INVOLVING ACCRETIVE OPERATORS IN BANACH SPACES
INERTIAL ITERATION SCHEMES FOR NONEXPANSIVE MAPS
Abstract
We study some general inertial Mann-type iteration schemes and prove that each of the scheme is an approximate fixed point sequence for nonexpansive maps in arbitrary real Banach spaces. Weak and strong convergence results are then established for fixed points of nonexpansive maps and solutions of certain important accretive-type operator inclusion problems in certain real Banach spaces. Our results extend several related recent results for the inertial generalized forward-backward splitting method.\
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Published
2025-06-16
How to Cite
Osilike, M. O., Nwokoro, P. U., Chima, E. E., Onah, A. C., Agbebaku, D. F., & Oguguo, O.- siseken U. (2025). INERTIAL ITERATION SCHEMES FOR NONEXPANSIVE MAPS AND INCLUSION PROBLEMS INVOLVING ACCRETIVE OPERATORS IN BANACH SPACES: INERTIAL ITERATION SCHEMES FOR NONEXPANSIVE MAPS. Journal of the Nigerian Mathematical Society, 44(2), 261–287. Retrieved from https://ojs.ictp.it/jnms/index.php/jnms/article/view/1167
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