WEAK CONVERGENCE OF A NEW PROJECTION ALGORITHM FOR VARIATIONAL INEQUALITIES IN BANACH SPACES

Ying Liu

Abstract


Applying the generalized projection operator, we introduce a new iterative algorithm in Banach spaces for a variational inequality involving a monotone hemi-continuous operator which is more general than a inverse-strongly-monotone operator. Weak convergence of the iterative algorithm is also proved.


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ISSN: 1229-1595 (Print), 2466-0973 (Online)

http://nfaa.kyungnam.ac.kr/journal-nfaa

(51767) 7 Kyungnamdaehak-ro, Masanhappo-gu, Changwon-si, Gyeongsangnam-do, Republic of Korea