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arXiv:1803.02347 [math.FA]AbstractReferencesReviewsResources

Two results in metric fixed point theory

Daniel Reem, Simeon Reich, Alexander J. Zaslavski

Published 2018-03-05Version 1

We establish two fixed point theorems for certain mappings of contractive type. The first result is concerned with the case where such mappings take a nonempty, closed subset of a complete metric space $X$ into $X$, and the second with an application of the continuation method to the case where they satisfy the Leray-Schauder boundary condition in Banach spaces.

Comments: The 2006 version (officially published in JFPTA in 2007)
Journal: Journal of Fixed Point Theory and Applications 1 (2007), 149--157
Categories: math.FA, math.CA
Subjects: 47H09, 47H10, 54H25, G.1.2, G.1.5, J.2
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