A Hybrid Iterative Scheme for a Maximal Monotone Operator and Two Countable Families of Relatively Quasi-Nonexpansive Mappings for Generalized Mixed Equilibrium and Variational Inequality Problems | Zendy

Siwaporn Saewan | Zendy; Poom Kumam | Zendy

Open Access

A Hybrid Iterative Scheme for a Maximal Monotone Operator and Two Countable Families of Relatively Quasi-Nonexpansive Mappings for Generalized Mixed Equilibrium and Variational Inequality Problems

Author(s) -

Siwaporn Saewan,

Poom Kumam

Publication year - 2010

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 - 10.1155/2010/123027

Subject(s) - mathematics , banach space , variational inequality , countable set , monotone polygon , strongly monotone , convergence (economics) , pseudo monotone operator , operator (biology) , regular polygon , fixed point , discrete mathematics , hilbert space , pure mathematics , mathematical analysis , finite rank operator , operator space , biochemistry , geometry , chemistry , repressor , transcription factor , economics , gene , economic growth

We introduce a new hybrid iterative scheme for finding a common element of the setof common fixed points of two countable families of relatively quasi-nonexpansive mappings, the setof the variational inequality for an α-inverse-strongly monotone operator, the set of solutions of thegeneralized mixed equilibrium problem and zeros of a maximal monotone operator in the framework of areal Banach space. We obtain a strong convergence theorem for the sequences generated by this processin a 2 uniformly convex and uniformly smooth Banach space. The results presented in this paper improveand extend some recent results

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research