Equivalent Extensions to Caristi-Kirk's Fixed Point Theorem, Ekeland's Variational Principle, and Takahashi's Minimization Theorem
نویسندگان
چکیده
منابع مشابه
Equivalent Extensions to Caristi-Kirk’s Fixed Point Theorem, Ekeland’s Variational Principle, and Takahashi’s Minimization Theorem
With a recent result of Suzuki 2001 we extend Caristi-Kirk’s fixed point theorem, Ekeland’s variational principle, and Takahashi’s minimization theorem in a complete metric space by replacing the distance with a τ-distance. In addition, these extensions are shown to be equivalent. When the τ-distance is l.s.c. in its second variable, they are applicable to establish more equivalent results abou...
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ژورنال
عنوان ژورنال: Fixed Point Theory and Applications
سال: 2010
ISSN: 1687-1820,1687-1812
DOI: 10.1155/2010/970579