Solving Yosida inclusion problem in Hadamard manifold
2019 ◽
Vol 9
(2)
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pp. 357-366
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Keyword(s):
Abstract We consider a Yosida inclusion problem in the setting of Hadamard manifolds. We study Korpelevich-type algorithm for computing the approximate solution of Yosida inclusion problem. The resolvent and Yosida approximation operator of a monotone vector field and their properties are used to prove that the sequence generated by the proposed algorithm converges to the solution of Yosida inclusion problem. An application to our problem and algorithm is presented to solve variational inequalities in Hadamard manifolds.
Keyword(s):
2020 ◽
Vol 11
(2)
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pp. 118-137
2020 ◽
Vol 26
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pp. 63
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2003 ◽
Vol 52
(5)
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pp. 1491-1498
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2017 ◽
Vol 175
(3)
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pp. 624-651