Iterative method for fixed point problem, variational inequality and generalized mixed equilibrium problems with applications |
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Authors: | Yekini Shehu |
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Institution: | 1. Mathematics Institute, African University of Science and Technology, Abuja, Nigeria
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Abstract: | In this paper, we introduce a new iterative scheme for finding a common element of the set of fixed points of a nonexpansive
mapping, the set of solution of generalized mixed equilibrium problem and the set of solutions of the variational inequality
problem for a co-coercive mapping in a real Hilbert space. Then strong convergence of the scheme to a common element of the
three sets is proved. Furthermore, new convergence results are deduced and finally we apply our results to solving optimization
problems and present other applications. |
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Keywords: | |
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