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Iterative algorithms for variational inclusions, mixed equilibrium and fixed point problems with application to optimization problems

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Yao Y., Cho Y., Liou Y.-C.

Open Mathematics

2011

tom 9

nr 3

640-656

In this paper, we introduce an iterative algorithm for finding a common element of the set of solutions of a mixed equilibrium problem, the set of fixed points of a nonexpansive mapping, and the the set of solutions of a variational inclusion in a real Hilbert space. Furthermore, we prove that the proposed iterative algorithm converges strongly to a common element of the above three sets, which is a solution of a certain optimization problem related to a strongly positive bounded linear operator.

Ograniczanie wyników

1 Open Mathematics

1 Cho Y.

1 Liou Y.-C.

1 Yao Y.

1 2011

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Iterative algorithms for variational inclusions, mixed equilibrium and fixed point problems with application to optimization problems