Geodesic
Strong convergence theorem for common solutions to quasi variational inclusion and fixed point problems
Tang, Xianzhi1 ; Cui, Huanhuan2
1 Department of of basic courses, Yellow River Conservancy Technical Institute, Kaifeng 475004, China
2 Department of Mathematics, Luoyang Normal University, Luoyang, 471022, China
Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 8, p. 5252-5258.

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

In this paper, we consider a problem that consists of finding a common solution to quasi variational inclusion and fixed point problems. We first present a simple proof to the strong convergence theorem established by Zhang et al. recently. Next, we propose a new algorithm to solve such a problem. Under some mild conditions, we establish the strong convergence of iterative sequence of the proposed algorithm.
DOI : 10.22436/jnsa.009.08.11
Classification : 47J25, 47H05, 47H09, 47H04, 47J22
Keywords: Variational inclusion, fixed point problem, inverse strongly monotone operator, nonexpansive mapping, multi-valued maximal monotone mapping.

Tang, Xianzhi 1 ; Cui, Huanhuan 2

1 Department of of basic courses, Yellow River Conservancy Technical Institute, Kaifeng 475004, China
2 Department of Mathematics, Luoyang Normal University, Luoyang, 471022, China 
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Tang, Xianzhi; Cui, Huanhuan. Strong convergence theorem for common solutions to quasi variational inclusion and fixed point problems. Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 8, p. 5252-5258. doi : 10.22436/jnsa.009.08.11. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.08.11/

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