An inertia-based algorithm for pseudomonotone variational inequality and fixed point problems in real Hilbert space
Volume 15, Issue 3, pp 209--224
http://dx.doi.org/10.22436/jnsa.015.03.04
Publication Date: April 13, 2022
Submission Date: January 22, 2021
Revision Date: February 27, 2021
Accteptance Date: January 01, 2022
Authors
J. N. Ezeora
- Department of Mathematics and Statistics, University of Port Harcourt, Port Harcourt, Nigeria.
R. C. Ogbonna
- Department of Computer Science and Mathematics, Evangel University, Aka-eze, Aka-eze.
F. E. Bazuaye
- Department of Mathematics and Statistics, University of Port Harcourt, Port Harcourt, Nigeria.
Abstract
The aim of this work is to study a pseudomonotone variational
inequality and a fixed point problem involving pseudocontractive
mappings in real Hilbert spaces. We introduce an inertia-based
iterative algorithm for finding a common solution to this problem.
The strong convergence of the proposed algorithm is proved.
Finally, numerical examples are provided and also meaningful
comparisons of these results with those in [Y. Yao, M. Postolache, J. C. Yao, Mathematics, \(\textbf{7}\) (2019), 14 pages],
proving that at our proposed numerical schemes are more efficient.
Share and Cite
ISRP Style
J. N. Ezeora, R. C. Ogbonna, F. E. Bazuaye, An inertia-based algorithm for pseudomonotone variational inequality and fixed point problems in real Hilbert space, Journal of Nonlinear Sciences and Applications, 15 (2022), no. 3, 209--224
AMA Style
Ezeora J. N., Ogbonna R. C., Bazuaye F. E., An inertia-based algorithm for pseudomonotone variational inequality and fixed point problems in real Hilbert space. J. Nonlinear Sci. Appl. (2022); 15(3):209--224
Chicago/Turabian Style
Ezeora, J. N., Ogbonna, R. C., Bazuaye, F. E.. "An inertia-based algorithm for pseudomonotone variational inequality and fixed point problems in real Hilbert space." Journal of Nonlinear Sciences and Applications, 15, no. 3 (2022): 209--224
Keywords
- Pseudomonotone variational inequality
- pseudocontractive mapping
- fixed point problem
- Hilbert space
MSC
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