Compression fixed point theorems of operator type View Full Text


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Article Info

DATE

2015-03

AUTHORS

Richard I. Avery, John R. Graef, Xueyan Liu

ABSTRACT

This paper is concerned with new fixed point theorems of operator type that are proved by fixed point index theory and are generalizations of the Leggett–Williams fixed point theorems. With additional structures on the inward and outward boundaries of a conical region, the theorems can be used to prove the existence of solutions of boundary value problems for nonlinear differential equations with dependence on higher-order derivatives, and they can provide nonlocal upper and lower bounds on the solutions. An application is given to demonstrate these advantages. More... »

PAGES

83-97

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11784-015-0228-1

DOI

http://dx.doi.org/10.1007/s11784-015-0228-1

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1045643882


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