A New General Iterative Method for Solution of a New General System of Variational Inclusions for Nonexpansive Semigroups in Banach Spaces | Zendy

Pongsakorn Sunthrayuth | Zendy; Poom Kumam | Zendy

Open Access

A New General Iterative Method for Solution of a New General System of Variational Inclusions for Nonexpansive Semigroups in Banach Spaces

Author(s) -

Pongsakorn Sunthrayuth,

Poom Kumam

Publication year - 2011

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2011/187052

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

We introduce a new general system of variational inclusions in Banach spaces and propose a new iterative scheme for finding common element of the set of solutions of the variational inclusion with set-valued maximal monotone mapping and Lipschitzian relaxed cocoercive mapping and the set of fixed point of nonexpansive semigroups in a uniformly convex and 2-uniformly smooth Banach space. Furthermore, strong convergence theorems are established under some certain control conditions. As applications, finding a common solution for a system of variational inequality problems and minimization problems is given

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