A Hybrid Proximal Algorithm for the Sum of Monotone Operators with Multivalued Mappings

Joint Authors

Kaewyong, N.
Kittiratanawasin, L.
Sitthithakerngkiet, Kanokwan
Pukdeboon, Chutiphon

Source

Journal of Function Spaces

Issue

Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2018-06-07

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

We modify a hybrid method and a proximal point algorithm to iteratively find a zero point of the sum of two monotone operators and fixed point of nonspreading multivalued mappings in a Hilbert space by using the technique of forward-backward splitting method.

The strong convergence theorem is established and the illustrative numerical example is presented on this work.

The results of this paper extend and improve some well-known results in the literature.

American Psychological Association (APA)

Kaewyong, N.& Kittiratanawasin, L.& Pukdeboon, Chutiphon& Sitthithakerngkiet, Kanokwan. 2018. A Hybrid Proximal Algorithm for the Sum of Monotone Operators with Multivalued Mappings. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1185920

Modern Language Association (MLA)

Kaewyong, N.…[et al.]. A Hybrid Proximal Algorithm for the Sum of Monotone Operators with Multivalued Mappings. Journal of Function Spaces No. 2018 (2018), pp.1-8.
https://search.emarefa.net/detail/BIM-1185920

American Medical Association (AMA)

Kaewyong, N.& Kittiratanawasin, L.& Pukdeboon, Chutiphon& Sitthithakerngkiet, Kanokwan. A Hybrid Proximal Algorithm for the Sum of Monotone Operators with Multivalued Mappings. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1185920

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1185920