INERTIAL ITERATION SCHEMES FOR NONEXPANSIVE MAPS AND INCLUSION PROBLEMS INVOLVING ACCRETIVE OPERATORS IN BANACH SPACES

INERTIAL ITERATION SCHEMES FOR NONEXPANSIVE MAPS

Authors

  • M. O. Osilike Department of MathematicsUniversity of Nigeria Nsukka, Nigeria.
  • P.U. Nwokoro University of Nigeria, Nsukka
  • E.E. Chima Department of Mathematics, Bingham Univerity, Karu, Nigeria
  • A.C. Onah Department of Industrial Mathematics, Evangel University, Akaeze, Ebonyi State, Nigeria
  • D.F. Agbebaku University of Nigeria, Nsukka
  • O.U. Oguguo University of Nigeria, Nsukka

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

Issue

Vol. 44 No. 2 (2025)

Section

Articles

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