An Alternative Regularization Method forEquilibrium Problems and Fixed Point ofNonexpansive Mappings

Author

Sun, Shuo

Source

Journal of Applied Mathematics

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-16, 16 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-05-13

Country of Publication

Egypt

No. of Pages

16

Main Subjects

Mathematics

Abstract EN

We introduce a new regularization iterative algorithm for equilibrium and fixed point problems of nonexpansive mapping.

Then, we prove a strong convergence theorem for nonexpansive mappings to solve a unique solution of the variational inequality and the unique sunny nonexpansive retraction.

Our results extend beyond the results of S.

Takahashi and W.

Takahashi (2007), and many others.

American Psychological Association (APA)

Sun, Shuo. 2012. An Alternative Regularization Method forEquilibrium Problems and Fixed Point ofNonexpansive Mappings. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-993033

Modern Language Association (MLA)

Sun, Shuo. An Alternative Regularization Method forEquilibrium Problems and Fixed Point ofNonexpansive Mappings. Journal of Applied Mathematics No. 2012 (2012), pp.1-16.
https://search.emarefa.net/detail/BIM-993033

American Medical Association (AMA)

Sun, Shuo. An Alternative Regularization Method forEquilibrium Problems and Fixed Point ofNonexpansive Mappings. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-993033

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-993033