Strong Convergence Iterative Algorithms for Equilibrium Problems and Fixed Point Problems in Banach Spaces | Zendy

Shenghua Wang | Zendy; Shin Min Kang | Zendy

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Strong Convergence Iterative Algorithms for Equilibrium Problems and Fixed Point Problems in Banach Spaces

Author(s) -

Shenghua Wang,

Shin Min Kang

Publication year - 2013

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 - 10.1155/2013/619762

Subject(s) - mathematics , banach space , countable set , bregman divergence , fixed point , convergence (economics) , regular polygon , set (abstract data type) , iterative method , scheme (mathematics) , pure mathematics , discrete mathematics , mathematical optimization , mathematical analysis , computer science , geometry , economics , programming language , economic growth

We first introduce the concept of Bregman asymptotically quasinonexpansive mappings and prove that the fixed point set of this kind of mappings is closed and convex. Then we construct an iterative scheme to find a common element of the set of solutions of an equilibrium problem and the set of common fixed points of a countable family of Bregman asymptotically quasinonexpansive mappings in reflexive Banach spaces and prove strong convergence theorems. Our results extend the recent ones of some others

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