Geodesic
Difference gap functions and global error bounds for random mixed equilibrium problems
Filomat, Tome 34 (2020) no. 8, p. 2739

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DOI

The aim of this paper is to study the difference gap (in short, D-gap) function and error bounds for a class of the random mixed equilibrium problems in real Hilbert spaces. Firstly, we consider regularized gap functions of the Fukushima type and Moreau-Yosida type. Then difference gap functions are established by using these terms of regularized gap functions. Finally, the global error bounds for random mixed equilibrium problems are also developed. The results obtained in this paper are new and extend some corresponding known results in literatures. Some examples are given for the illustration of our results.
DOI : 10.2298/FIL2008739H
Classification : 49J53, 58E35, 90C25, 90C33
Keywords: Random mixed equilibrium, difference gap function, Global error bounds, Regularized gap function 
Nguyen Van Hung; Xiaolong Qin; Vo Minh Tam; Jen-Chih Yao. Difference gap functions and global error bounds for random mixed equilibrium problems. Filomat, Tome 34 (2020) no. 8, p. 2739 . doi: 10.2298/FIL2008739H
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     author = {Nguyen Van Hung and Xiaolong Qin and Vo Minh Tam and Jen-Chih Yao},
     title = {Difference gap functions and global error bounds for random mixed equilibrium problems},
     journal = {Filomat},
     pages = {2739 },
     year = {2020},
     volume = {34},
     number = {8},
     doi = {10.2298/FIL2008739H},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2008739H/}
}
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