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

Eric U. Ofoedu | Zendy

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

Author(s) -

Eric U. Ofoedu

Publication year - 2013

Publication title -

international journal of analysis

Language(s) - English

Resource type - Journals

eISSN - 2314-4998

pISSN - 2314-498X

DOI - 10.1155/2013/762831

Subject(s) - mathematics , countable set , fixed point , variational inequality , sequence (biology) , monotone polygon , convergence (economics) , strongly monotone , discrete mathematics , scheme (mathematics) , set (abstract data type) , hilbert space , pure mathematics , mathematical analysis , computer science , geometry , biology , economics , genetics , programming language , economic growth

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

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