Fixed Point Theorems

Hemant Kumar Pathak ()
Additional contact information
Hemant Kumar Pathak: Pandit Ravishankar Shukla University, School of Studies in Mathematics

Chapter Chapter 5 in An Introduction to Nonlinear Analysis and Fixed Point Theory, 2018, pp 231-448 from Springer

Abstract: Abstract In Sect. 5.1, we discuss the Banach’s contraction mapping theorem and some consequences of this theorem. We also deal with contractive mappings considered by Edelstein [212] and certain generalizations of contraction mapping theorem, mainly the ones obtained by Boyd and Wongs [75], Kannan [308, 309], Reich [509] and Husain and Sehgal [283] and others. This section ends with a recent fixed point theorem due to Caristi [128, 129]. Caristi’s theorem finds many applications in the field of nonlinear functional analysis.

Date: 2018
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-10-8866-7_5

Ordering information: This item can be ordered from
http://www.springer.com/9789811088667

DOI: 10.1007/978-981-10-8866-7_5

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().