• 제목/요약/키워드: drop theorem Palais-Smale condition

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AN EKELAND TYPE VARIATIONAL PRINCIPLE ON GAUGE SPACES WITH APPLICATIONS TO FIXED POINT THEORY, DROP THEORY AND COERCIVITY

  • Bae, Jong-Sook;Cho, Seong-Hoon;Kim, Jeong-Jin
    • 대한수학회보
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    • 제48권5호
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    • pp.1023-1032
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    • 2011
  • 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$\check{s}$' drop theorem on seminormed spaces. Also, we show that the Palais-Smale condition implies coercivity on semi-normed spaces.