MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
An iterative method for variational inequality problems and fixed point problems in Hilbert spaces
Xiaolong Qin, Meijuan Shang and Yongfu Su

Abstract

In this paper, we introduce a new iterative scheme to investigate the problem of finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of a variational inequality problem for a relaxed $(\gamma,r)$-cocoercive, Lipschitz continuous mapping. Our results improve and extend the corresponding results of many others.

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Keywords: Projection method; relaxed cocoercive mapping; nonexpansive mapping; fixed point.

MSC: 47H05, 47H09; 47J05; 47J25

Pages:  107--120     

Volume  60 ,  Issue  2 ,  2008