New Mixed Equilibrium Problems and Iterative Algorithms for Fixed Point Problems in Banach Spaces

Joint Authors

Chen, Minjiang
Song, Jianmin
Wang, Shenghua

Source

Journal of Applied Mathematics

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-01-09

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Mathematics

Abstract EN

We first introduce a new mixed equilibrium problem with a relaxed monotone mapping in Banach spaces and prove the existence of solutions of the equilibrium problem.

Then we introduce a new iterative algorithm for finding a common element of the set of solutions of the equilibrium problem and the set of fixed points of a quasi-ϕ-nonexpansive mapping and prove some strong convergence theorems of the iteration.

Our results extend and improve the corresponding ones given by Wang et al., Takahashi and Zembayashi, and some others.

American Psychological Association (APA)

Chen, Minjiang& Song, Jianmin& Wang, Shenghua. 2014. New Mixed Equilibrium Problems and Iterative Algorithms for Fixed Point Problems in Banach Spaces. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-453449

Modern Language Association (MLA)

Chen, Minjiang…[et al.]. New Mixed Equilibrium Problems and Iterative Algorithms for Fixed Point Problems in Banach Spaces. Journal of Applied Mathematics No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-453449

American Medical Association (AMA)

Chen, Minjiang& Song, Jianmin& Wang, Shenghua. New Mixed Equilibrium Problems and Iterative Algorithms for Fixed Point Problems in Banach Spaces. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-453449

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-453449