An Ekeland type variational principle on gauge spaces with applications to fixed point theory, drop theory and coercivity
Bull. Korean Math. Soc. 2011 Vol. 48, No. 5, 1023-1032
Printed September 1, 2011
Jong-Sook Bae, Seong-Hoon Cho, and Jeong-Jin Kim
Moyngji University, Hanseo University, Moyngji University
Abstract : In this paper, a new Ekeland type variational principle on gauge spaces is established. As applications, we give Caristi-Kirk type fixed point theorems on gauge spaces, and Dane\v{s}' drop theorem on semi-normed spaces. Also, we show that the Palais-Smale condition implies coercivity on semi-normed spaces.
Keywords : variational principle, gauge space, fixed point, drop theorem, Palais-Smale condition
MSC numbers : 54H25, 49J40, 49J45
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