The weak Ekeland variational principle and fixed points

Gerald Beer,Asen L Dontchev

doi:10.1016/j.na.2014.01.022

The weak Ekeland variational principle and fixed points

Gerald Beer, Asen L Dontchev

https://doi.org/10.1016/j.na.2014.01.022

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Journal: Nonlinear Analysis	Publication Date: Feb 25, 2014
Citations: 9

Affiliation: California State University Los Angeles, University of Michigan–Ann Arbor

#Existence Result For Differential Inclusions #Point Theorem For Set-valued Mappings + Show 8 more

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Abstract

We use the weak Ekeland variational principle to obtain a new proof of an improved version of the Nadler fixed point theorem for set-valued mappings given by Dontchev and Hager (1994). Separately, we apply the fixed point theorem to obtain an unconventional existence result for differential inclusions.

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