A theorem of variational inclusion problems and various nonlinear mappings |
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| Authors: | W. Khuangsatung |
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| Affiliation: | Department of Mathematics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang , Bangkok, Thailand. |
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| Abstract: | In this paper, we prove a strong convergence theorem for finding a common element of the set of fixed points of a finite family of nonexpansive mappings and the set of solutions of a finite family of variational inclusion problems in Hilbert spaces. Moreover, we utilize our main result to fixed point problems of various nonlinear mappings and the set of solutions of variational inclusion problems. |
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| Keywords: | Variational inclusion problems nonexpansive mapping resolvent operator fixed point problem |
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