Geodesic
Proximal point algorithms involving fixed point of nonspreading-type multivalued mappings in Hilbert spaces
Chang, Shih-Sen1 ; Wu, Ding Ping2 ; Wang, Lin3 ; Wang, Gang3
1 Center for General Educatin, China Medical University, Taichung 40402, Taiwan
2 School of Applied Mathematics, Chengdu University of Information Technology Chengsu, Sichuan 610103, China
3 College of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, Yunnan 650221, China
Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 10, p. 5561-5569.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, a new modified proximal point algorithm involving fixed point of nonspreading-type multivalued mappings in Hilbert spaces is proposed. Under suitable conditions, some weak convergence and strong convergence to a common element of the set of minimizers of a convex function and the set of fixed points of the nonspreading-type multivalued mappings in Hilbert space are proved. The presented results in the paper are new.
DOI : 10.22436/jnsa.009.10.06
Classification : 47J05, 47H09
Keywords: Convex minimization problem, resolvent identity, proximal point algorithm, weak and strong convergence theorem, nonspreading-type multivalued mapping.

Chang, Shih-Sen 1 ; Wu, Ding Ping 2 ; Wang, Lin 3 ; Wang, Gang 3

1 Center for General Educatin, China Medical University, Taichung 40402, Taiwan
2 School of Applied Mathematics, Chengdu University of Information Technology Chengsu, Sichuan 610103, China
3 College of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, Yunnan 650221, China 
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Chang, Shih-Sen; Wu, Ding Ping; Wang, Lin; Wang, Gang. Proximal point algorithms involving fixed point of nonspreading-type multivalued mappings in Hilbert spaces. Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 10, p. 5561-5569. doi : 10.22436/jnsa.009.10.06. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.10.06/

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