Fixed point solutions of variational inequality and generalized equilibrium problems with applications |
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Authors: | Yekini Shehu |
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Institution: | 1.Mathematics Institute,African University 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 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 obtaining zeroes of maximal monotone operators and co-coercive mappings. |
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Keywords: | |
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