A General Composite Algorithms for Solving General Equilibrium Problems and Fixed Point Problems in Hilbert Spaces | Zendy

Rattanaporn Wangkeeree | Zendy; Uthai Kamraksa | Zendy; Rabian Wangkeeree | Zendy

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A General Composite Algorithms for Solving General Equilibrium Problems and Fixed Point Problems in Hilbert Spaces

Author(s) -

Rattanaporn Wangkeeree,

Uthai Kamraksa,

Rabian Wangkeeree

Publication year - 2011

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2011/976412

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

We introduce a general composite algorithm for finding a common element of the set of solutions of a general equilibrium problem and the common fixed point set of a finite family of asymptotically nonexpansive mappings in the framework of Hilbert spaces. Strong convergence of such iterative scheme is obtained which solving some variational inequalities for a strongly monotone and strictly pseudocontractive mapping. Our results extend the corresponding recent results of Yao and Liou (2010)

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