Abstract
In this note we survey some continuation fixed point theorems for Caristi-type non-self-mappings on complete metric spaces. Two new results, a continuation theorem and the nonlinear alternative are given in terms of retractions and generalized Leray–Schauder conditions.
Authors
Radu Precup
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Keywords
Caristi’s theorem; continuation results; nonlinear alternative; contraction; metric space; retraction; fixed point.
Paper coordinates
R. Precup, On the continuation method and the nonlinear alternative for Caristi-type non-self-mappings, J. Fixed Point Theory Appl. 16 (2014), 3-10, https://doi.org/10.1007/S11784-014-0197-9
About this paper
Journal
Journal of Fixed Point Theory and Applications
Publisher Name
Springer
Print ISSN
16617738
Online ISSN
16617746
google scholar link
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