 Applications of Fixed Point TheoremsHemant Kumar Pathak ()
Chapter Chapter 9 in An Introduction to Nonlinear Analysis and Fixed Point Theory, 2018, pp 659-763 from Springer Abstract: Abstract Fixed point theory is a viable, productive, conclusive and useful to solve problems of existence and uniqueness of solution of a differential equation or an integral equation. Moreover, it encompasses various facets of analysis and a fascinating subject endowed with sophisticated tools with an enormous number of applications in various fields of mathematics. In this chapter, we intend to give some applications of fixed point theorems to obtain existence theorems for nonlinear differential and integral equations. Our treatment includes some standard well-known results as well as some recent ones. We have avoided an extensive discussion on this areas instead we concentrate on a few important problems. As usual, in most cases, the differential equations are transformed into an equivalent operator equations involving integral operators and then appropriate fixed point theorems or degree theoretic methods are invoked to prove the existence of desired solutions by recasting the operator equations into fixed point equations. Date: 2018 There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it. Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-10-8866-7_9 Ordering information: This item can be ordered from DOI: 10.1007/978-981-10-8866-7_9 Access Statistics for this chapter More chapters in Springer Books from Springer |
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