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

We introduce the new concepts of e-distance, e-type mapping with respect to some e-distance and S-complete quasimetric space, and prove minimization theorems, fixed point theorems, and variational principles on an S-complete quasimetric space. We also give some examples of quasimetrics, e-distances,...

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Bibliographic Details
Main Author: Jeong Sheok Ume
Format: Article
Language:English
Published: SpringerOpen 2008-10-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2008/230101