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.


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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


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