Geodesic
Convergence theorems for composite viscosity approaches to systems variational inequalities in Banach spaces
Filomat, Tome 33 (2019) no. 19, p. 6267

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DOI

In this paper, we study a general system of variational inequalities with a hierarchical variational inequality constraint for an infinite family of nonexpansive mappings. We introduce general implicit and explicit iterative algorithms. We prove the strong convergence of the sequences generated by the proposed iterative algorithms to a solution of the studied problems
DOI : 10.2298/FIL1919267C
Classification : 49J30, 47H09, 47J20, 49M05
Keywords: General system of variational inequalities, Hierarchical variational inequality, Nonexpansive mapping, Fixed point 
Lu-Chuan Ceng; Jen-Chih Yao; Yonghong Yao. Convergence theorems for composite viscosity approaches to systems variational inequalities in Banach spaces. Filomat, Tome 33 (2019) no. 19, p. 6267 . doi: 10.2298/FIL1919267C
@article{10_2298_FIL1919267C,
     author = {Lu-Chuan Ceng and Jen-Chih Yao and Yonghong Yao},
     title = {Convergence theorems for composite viscosity approaches to systems variational inequalities in {Banach} spaces},
     journal = {Filomat},
     pages = {6267 },
     year = {2019},
     volume = {33},
     number = {19},
     doi = {10.2298/FIL1919267C},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL1919267C/}
}
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