Convexity, Smoothness, and Duality Mappings

Agarwal, Ravi P.; O’Regan, Donal; Sahu, D.R.

doi:10.1007/978-0-387-75818-3_2

Ravi P. Agarwal¹,
Donal O’Regan² &
D.R. Sahu³

Part of the book series: Topological Fixed Point Theory and Its Applications ((TFPT,volume 6))

1256 Accesses
1 Citations

Geometric structures such as convexity and smoothness of Banach spaces play an important role in the existence and approximation of fixed points of nonlinear mappings. This chapter presents a substantial number of useful pro-perties of duality mappings and Banach spaces having these geometric structures.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Chapter: USD 29.95; Price excludes VAT (USA)

eBook: USD 129.00; Price excludes VAT (USA)

Softcover Book: USD 169.99; Price excludes VAT (USA)

Hardcover Book: USD 169.99; Price excludes VAT (USA)

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USA
Dr Ravi P. Agarwal
Institute of Mathematics, National University of Ireland, Galway, Ireland
Prof.Dr Donal O’Regan
Department of Mathematics Faculty of Science, Banaras Hindu University, Varanasi, India
Dr D.R. Sahu

Authors

Dr Ravi P. Agarwal
View author publications
You can also search for this author in PubMed Google Scholar
Prof.Dr Donal O’Regan
View author publications
You can also search for this author in PubMed Google Scholar
Dr D.R. Sahu
View author publications
You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ravi P. Agarwal .

Rights and permissions

Reprints and permissions

Copyright information

About this chapter

Cite this chapter

Agarwal, R.P., O’Regan, D., Sahu, D. (2009). Convexity, Smoothness, and Duality Mappings. In: Fixed Point Theory for Lipschitzian-type Mappings with Applications. Topological Fixed Point Theory and Its Applications, vol 6. Springer, New York, NY. https://doi.org/10.1007/978-0-387-75818-3_2

Download citation

DOI: https://doi.org/10.1007/978-0-387-75818-3_2
Published: 02 May 2009
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-75817-6
Online ISBN: 978-0-387-75818-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

Publish with us

Policies and ethics