A self adaptive inertial subgradient extragradient algorithm for variational inequality and common fixed point of multivalued mappings in Hilbert spaces

Abstract: We consider a new subgradient extragradient iterative algorithm with inertial extrapolation for approximating a common solution of variational inequality problems and fixed point problems of a multivalued demicontractive mapping in a real Hilbert space. We established a strong convergence theorem for our proposed algorithm under some suitable conditions and without prior knowledge of the Lipschitz constant of the underlying operator. We present numerical examples to show that our proposed algorithm performs better than some recent existing algorithms in the literature.

Standort
Deutsche Nationalbibliothek Frankfurt am Main
Umfang
Online-Ressource
Sprache
Englisch

Erschienen in
A self adaptive inertial subgradient extragradient algorithm for variational inequality and common fixed point of multivalued mappings in Hilbert spaces ; volume:52 ; number:1 ; year:2019 ; pages:183-203 ; extent:21
Demonstratio mathematica ; 52, Heft 1 (2019), 183-203 (gesamt 21)

Urheber
Jolaoso, Lateef Olakunle
Taiwo, Adeolu
Alakoya, Timilehin Opeyemi
Mewomo, Oluwatosin Temitope

DOI
10.1515/dema-2019-0013
URN
urn:nbn:de:101:1-2411181506055.036361209645
Rechteinformation
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Letzte Aktualisierung
15.08.2025, 07:33 MESZ

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Beteiligte

  • Jolaoso, Lateef Olakunle
  • Taiwo, Adeolu
  • Alakoya, Timilehin Opeyemi
  • Mewomo, Oluwatosin Temitope

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