Iterative algorithms with the regularization for the constrained convex minimization problem and maximal monotone operators |
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Authors: | Wongvisarut Khuangsatung |
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Affiliation: | Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi, Pathumthani, Thailand. |
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Abstract: | In this paper, we prove a strong convergence theorem for finding a common element of the solution set of a constrained convex minimization problem and the set of solutions of a finite family of variational inclusion problems in Hilbert space. A strong convergence theorem for finding a common element of the solution set of a constrained convex minimization problem and the solution sets of a finite family of zero points of the maximal monotone operator problem in Hilbert space is also obtained. Using our main result, we have some additional results for various types of non-linear problems in Hilbert space. |
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Keywords: | Constrained convex minimization resolvent operator maximal monotone operators |
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