Open AccessThe Borwein-Preiss variational principle for nonconvex countable systems of equilibrium problems
Author(s) -
Somyot Plubtieng,
Thidaporn Seangwattana
Publication year - 2016
Publication title -
the journal of nonlinear sciences and applications
Language(s) - English
Resource type - Journals
eISSN - 2008-1901
pISSN - 2008-1898
DOI - 10.22436/jnsa.009.05.26
Subject(s) - mathematics , countable set , mathematical economics , pure mathematics
The aim of the present paper, by using the Borwein-Preiss variational principle, we prove existence results for countable systems of equilibrium problems. We establish some sufficient conditions which can guarantee two existence theorems for countable systems of equilibrium problems on closed subsets of complete metric spaces and on weakly compact subsets of real Banach spaces, respectively. c ©2016 All rights reserved.
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