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  • Research Article
  • Open Access

Extensions of Minimization Theorems and Fixed Point Theorems on a Quasimetric Space

Fixed Point Theory and Applications20082008:230101

https://doi.org/10.1155/2008/230101

  • Received: 16 March 2008
  • Accepted: 9 June 2008
  • Published:

Abstract

We introduce the new concepts of -distance, -type mapping with respect to some -distance and -complete quasimetric space, and prove minimization theorems, fixed point theorems, and variational principles on an -complete quasimetric space. We also give some examples of quasimetrics, -distances, and -type mapping with respect to some -distance. Our results extend, improve, and unify many known results due to Caristi, Ekeland, Ćirić, Kada-Suzuki-Takahashi, Ume, and others.

Keywords

  • Point Theorem
  • Differential Geometry
  • Computational Biology
  • Full Article
  • Publisher Note

Publisher note

To access the full article, please see PDF.

Authors’ Affiliations

(1)
Department of Applied Mathematics, Changwon National University, Changwon, 641-773, South Korea

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