Geodesic
Variational inequalities, variational inclusions and common fixed point problems in Banach spaces
Filomat, Tome 34 (2020) no. 9, p. 2939

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DOI

In this paper, let X be a uniformly convex and q-uniformly smooth Banach space with 1 q ≤ 2. We introduce and study modified implicit extragradient iterations for treating a common solution of a common fixed-point problem of a countable family of nonexpansive mappings, a general system of variational inequalities, and a variational inclusion in X.
DOI : 10.2298/FIL2009939C
Classification : 49H05, 47H09, 47J20
Keywords: Modified implicit extragradient, Variational inclusions, Nonexpansive operators, Uniform convexity, Uniform smoothness 
Lu-Chuan Ceng; Qing Yuan. Variational inequalities, variational inclusions and common fixed point problems in Banach spaces. Filomat, Tome 34 (2020) no. 9, p. 2939 . doi: 10.2298/FIL2009939C
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     author = {Lu-Chuan Ceng and Qing Yuan},
     title = {Variational inequalities, variational inclusions and common fixed point problems in {Banach} spaces},
     journal = {Filomat},
     pages = {2939 },
     year = {2020},
     volume = {34},
     number = {9},
     doi = {10.2298/FIL2009939C},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2009939C/}
}
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