A General Approximation Scheme for Solutions of Various Problems in Fixed Point Theory

Eric U. Ofoedu

International Journal of Analysis, 2013, vol. 2013, 1-18

Abstract:

It is our aim to prove strong convergence of a new iterative sequence to a common element of the solution set of a generalized mixed equilibrium problem; the null space of an inverse strongly monotone operator; the set of common fixed points of a countable infinite family of nonexpansive mappings; and the set of fixed points of a continuous pseudocontractive mapping. Moreover, the common element is also a unique solution of a variational inequality problem and optimality condition for a certain minimization problem. Our theorems generalize, improve, and unify several recently announced results.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:ijanal:762831

DOI: 10.1155/2013/762831

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