Fixed Points Approximation and Solutions of Some Equilibrium and Variational Inequalities Problems | Zendy

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Fixed Points Approximation and Solutions of Some Equilibrium and Variational Inequalities Problems

Author(s) -

Bashir Ali

Publication year - 2009

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2009/656534

Subject(s) - mathematics , variational inequality , countable set , fixed point , intersection (aeronautics) , convergence (economics) , set (abstract data type) , scheme (mathematics) , fixed point theorem , maximal element , inequality , discrete mathematics , pure mathematics , mathematical analysis , economic growth , computer science , engineering , economics , programming language , aerospace engineering

We prove a new strong convergence theorem for an element in the intersection of the set of common fixed points of a countable family of nonexpansive mappings, the set of solutions of some variational inequality problems, and the set of solutions of some equilibrium problems using a new iterative scheme. Our theorem generalizes and improves some recent results

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