Hybrid Gradient-Projection Algorithm for Solving Constrained Convex Minimization Problems with Generalized Mixed Equilibrium Problems

Joint Authors

Ceng, Lu-Chuan
Wen, Ching-Feng

Source

Journal of Function Spaces

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-26, 26 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-10-30

Country of Publication

Egypt

No. of Pages

26

Main Subjects

Mathematics

Abstract EN

It is well known that the gradient-projection algorithm (GPA) for solving constrained convex minimization problems has been proven to have only weak convergence unless the underlying Hilbert space is finite dimensional.

In this paper, we introduce a new hybrid gradient-projection algorithm for solving constrained convex minimization problems with generalized mixed equilibrium problems in a real Hilbert space.

It is proven that three sequences generated by this algorithm converge strongly to the unique solution of some variational inequality, which is also a common element of the set of solutions of a constrained convex minimization problem, the set of solutions of a generalized mixed equilibrium problem, and the set of fixed points of a strict pseudocontraction in a real Hilbert space.

American Psychological Association (APA)

Ceng, Lu-Chuan& Wen, Ching-Feng. 2012. Hybrid Gradient-Projection Algorithm for Solving Constrained Convex Minimization Problems with Generalized Mixed Equilibrium Problems. Journal of Function Spaces،Vol. 2012, no. 2012, pp.1-26.
https://search.emarefa.net/detail/BIM-994313

Modern Language Association (MLA)

Ceng, Lu-Chuan& Wen, Ching-Feng. Hybrid Gradient-Projection Algorithm for Solving Constrained Convex Minimization Problems with Generalized Mixed Equilibrium Problems. Journal of Function Spaces No. 2012 (2012), pp.1-26.
https://search.emarefa.net/detail/BIM-994313

American Medical Association (AMA)

Ceng, Lu-Chuan& Wen, Ching-Feng. Hybrid Gradient-Projection Algorithm for Solving Constrained Convex Minimization Problems with Generalized Mixed Equilibrium Problems. Journal of Function Spaces. 2012. Vol. 2012, no. 2012, pp.1-26.
https://search.emarefa.net/detail/BIM-994313

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-994313