Inertial hybrid S-iteration algorithm for fixed point of asymptotically nonexpansive mappings and equilibrium problems in a real Hilbert space
Volume 15, Issue 2, pp 123--135
http://dx.doi.org/10.22436/jnsa.015.02.04
Publication Date: November 27, 2021
Submission Date: July 21, 2021
Revision Date: August 11, 2021
Accteptance Date: October 07, 2021
Authors
M. H. Harbau
- Department of Science and Technology Education, Bayero University, Kano, Nigeria.
A. Ahmad
- Department of Mathematics, Federal College of Education, Katsina, Nigeria.
Abstract
In this paper, we introduce an inertial hybrid S-iteration algorithm for two asymptotically nonexpansive mappings and equilibrium problems in a real Hilbert space. Strong convergence of the iterative scheme is established. Our results improve and extend many recent results in the literature.
Share and Cite
ISRP Style
M. H. Harbau, A. Ahmad, Inertial hybrid S-iteration algorithm for fixed point of asymptotically nonexpansive mappings and equilibrium problems in a real Hilbert space, Journal of Nonlinear Sciences and Applications, 15 (2022), no. 2, 123--135
AMA Style
Harbau M. H., Ahmad A., Inertial hybrid S-iteration algorithm for fixed point of asymptotically nonexpansive mappings and equilibrium problems in a real Hilbert space. J. Nonlinear Sci. Appl. (2022); 15(2):123--135
Chicago/Turabian Style
Harbau, M. H., Ahmad, A.. "Inertial hybrid S-iteration algorithm for fixed point of asymptotically nonexpansive mappings and equilibrium problems in a real Hilbert space." Journal of Nonlinear Sciences and Applications, 15, no. 2 (2022): 123--135
Keywords
- Asymptotically nonexpansive
- inertial S-iteration method
- equilibrium problems
- fixed point
MSC
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