A self-adaptive inertial subgradient extragradient method for pseudomonotone equilibrium and common fixed point problems

Abstract In this paper, we introduce a self-adaptive inertial subgradient extragradient method for solving pseudomonotone equilibrium problem and common fixed point problem in real Hilbert spaces. The algorithm consists of an inertial extrapolation process for speeding the rate of its convergence, a...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Lateef Olakunle Jolaoso, Maggie Aphane
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2020
Materias:	Extragradient method Equilibrium problems Common fixed point Self-adaptive method Pseudomonotone Applied mathematics. Quantitative methods T57-57.97 Analysis QA299.6-433
Acceso en línea:	https://doaj.org/article/38e94ae26ba24275827c5a942fdb4946
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:38e94ae26ba24275827c5a942fdb4946
record_format	dspace
spelling	oai:doaj.org-article:38e94ae26ba24275827c5a942fdb49462021-12-02T15:26:41ZA self-adaptive inertial subgradient extragradient method for pseudomonotone equilibrium and common fixed point problems10.1186/s13663-020-00676-y1687-1812https://doaj.org/article/38e94ae26ba24275827c5a942fdb49462020-07-01T00:00:00Zhttp://link.springer.com/article/10.1186/s13663-020-00676-yhttps://doaj.org/toc/1687-1812Abstract In this paper, we introduce a self-adaptive inertial subgradient extragradient method for solving pseudomonotone equilibrium problem and common fixed point problem in real Hilbert spaces. The algorithm consists of an inertial extrapolation process for speeding the rate of its convergence, a monotone nonincreasing stepsize rule, and a viscosity approximation method which guaranteed its strong convergence. More so, a strong convergence theorem is proved for the sequence generated by the algorithm under some mild conditions and without prior knowledge of the Lipschitz-like constants of the equilibrium bifunction. We further provide some numerical examples to illustrate the performance and accuracy of our method.Lateef Olakunle JolaosoMaggie AphaneSpringerOpenarticleExtragradient methodEquilibrium problemsCommon fixed pointSelf-adaptive methodPseudomonotoneApplied mathematics. Quantitative methodsT57-57.97AnalysisQA299.6-433ENFixed Point Theory and Applications, Vol 2020, Iss 1, Pp 1-22 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Extragradient method Equilibrium problems Common fixed point Self-adaptive method Pseudomonotone Applied mathematics. Quantitative methods T57-57.97 Analysis QA299.6-433
spellingShingle	Extragradient method Equilibrium problems Common fixed point Self-adaptive method Pseudomonotone Applied mathematics. Quantitative methods T57-57.97 Analysis QA299.6-433 Lateef Olakunle Jolaoso Maggie Aphane A self-adaptive inertial subgradient extragradient method for pseudomonotone equilibrium and common fixed point problems
description	Abstract In this paper, we introduce a self-adaptive inertial subgradient extragradient method for solving pseudomonotone equilibrium problem and common fixed point problem in real Hilbert spaces. The algorithm consists of an inertial extrapolation process for speeding the rate of its convergence, a monotone nonincreasing stepsize rule, and a viscosity approximation method which guaranteed its strong convergence. More so, a strong convergence theorem is proved for the sequence generated by the algorithm under some mild conditions and without prior knowledge of the Lipschitz-like constants of the equilibrium bifunction. We further provide some numerical examples to illustrate the performance and accuracy of our method.
format	article
author	Lateef Olakunle Jolaoso Maggie Aphane
author_facet	Lateef Olakunle Jolaoso Maggie Aphane
author_sort	Lateef Olakunle Jolaoso
title	A self-adaptive inertial subgradient extragradient method for pseudomonotone equilibrium and common fixed point problems
title_short	A self-adaptive inertial subgradient extragradient method for pseudomonotone equilibrium and common fixed point problems
title_full	A self-adaptive inertial subgradient extragradient method for pseudomonotone equilibrium and common fixed point problems
title_fullStr	A self-adaptive inertial subgradient extragradient method for pseudomonotone equilibrium and common fixed point problems
title_full_unstemmed	A self-adaptive inertial subgradient extragradient method for pseudomonotone equilibrium and common fixed point problems
title_sort	self-adaptive inertial subgradient extragradient method for pseudomonotone equilibrium and common fixed point problems
publisher	SpringerOpen
publishDate	2020
url	https://doaj.org/article/38e94ae26ba24275827c5a942fdb4946
work_keys_str_mv	AT lateefolakunlejolaoso aselfadaptiveinertialsubgradientextragradientmethodforpseudomonotoneequilibriumandcommonfixedpointproblems AT maggieaphane aselfadaptiveinertialsubgradientextragradientmethodforpseudomonotoneequilibriumandcommonfixedpointproblems AT lateefolakunlejolaoso selfadaptiveinertialsubgradientextragradientmethodforpseudomonotoneequilibriumandcommonfixedpointproblems AT maggieaphane selfadaptiveinertialsubgradientextragradientmethodforpseudomonotoneequilibriumandcommonfixedpointproblems
_version_	1718387196113715200

A self-adaptive inertial subgradient extragradient method for pseudomonotone equilibrium and common fixed point problems

Ejemplares similares