Iterative Algorithms with Perturbations for Solving the Systems of Generalized Equilibrium Problems and the Fixed Point Problems of Two Quasi‐Nonexpansive Mappings | Zendy

Rabian Wangkeeree | Zendy; Uraiwan Boonkong | Zendy

Open Access

Iterative Algorithms with Perturbations for Solving the Systems of Generalized Equilibrium Problems and the Fixed Point Problems of Two Quasi‐Nonexpansive Mappings

Author(s) -

Rabian Wangkeeree,

Uraiwan Boonkong

Publication year - 2012

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 - 10.1155/2012/161897

Subject(s) - hilbert space , mathematics , fixed point , convergence (economics) , set (abstract data type) , iterative method , element (criminal law) , point (geometry) , algorithm , mathematical optimization , mathematical analysis , computer science , geometry , law , economics , programming language , economic growth , political science

We introduce new iterative algorithms with perturbations for finding a common element of the set of solutions of the system of generalized equilibrium problems and the set of common fixed points of two quasi-nonexpansive mappings in a Hilbert space. Under suitable conditions, strong convergence theorems are obtained. Furthermore, we also consider the iterative algorithms with perturbations for finding a common element of the solution set of the systems of generalized equilibrium problems and the common fixed point set of the super hybrid mappings in Hilbert spaces

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