ANALYSIS OF AN ITERATIVE ALGORITHM FOR SOLVING GENERALIZED VARIATIONAL INEQUALITIES AND FIXED POINT PROBLEMS

ANALYSIS OF AN ITERATIVE ALGORITHM FOR SOLVING GENERALIZED VARIATIONAL INEQUALITIES AND FIXED POINT PROBLEMS

In this paper, we investigate iterative algorithms for solving the generalized variational inequalities and fixed point problems in Hilbert spaces. We construct an iterative algorithm for finding a common solution of the generalized variational inequalities involved in inverse strongly monotone oper...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Scientific bulletin. Buletin științific. Series A, Applied mathematics and physycs [i.e. physics] / UPB. Series A, Applied mathematics and physyics [i.e. physics Applied mathematics and physycs [i.e. physics] / UPB. Series A, Applied mathematics and physyics [i.e. physics, 2021-01, Vol.83 (4), p.105-120
Hauptverfasser: Yao, Zhangsong, Zhu, Zhichuan
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics, Applied
Physical Sciences
Physics
Physics, Multidisciplinary
Science & Technology
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we investigate iterative algorithms for solving the generalized variational inequalities and fixed point problems in Hilbert spaces. We construct an iterative algorithm for finding a common solution of the generalized variational inequalities involved in inverse strongly monotone operator and relaxed cocoercive operator and fixed point problem of asymptotically pseudocontractive operators. Strong convergence analysis of the constructed algorithm is given.
ISSN:1223-7027