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Zbl 1201.54039
Włodarczyk, Kazimierz; Plebaniak, Robert
Maximality principle and general results of Ekeland and Caristi types without lower semicontinuity assumptions in cone uniform spaces with generalized pseudodistances. (English)
[J] Fixed Point Theory Appl. 2010, Article ID 175453, 35 p. (2010). ISSN 1687-1812/e

The authors introduce a partial quasiordering in cone uniform spaces with generalized pseudodistances for giving the general maximality principle in these spaces and show how this maximality principle can be used to obtain new and generalized results of Ekeland and Caristi type without lower semicontinuity assumptions.
[Ioan A. Rus (Cluj-Napoca)]

MSC 2000:: *54H25 Fixed-point theorems in topological spaces
54F05 Ordered topological spaces
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces
47H20 Semigroups of nonlinear operators

Keywords: partial quasiordering in cone uniform spaces; fixed point; endpoint; maximality principle

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