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) Zbl 1201.54039 Fixed Point Theory Appl. 2010, Article ID 175453, 35 p. (2010). 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. Reviewer: Ioan A. Rus (Cluj-Napoca) Cited in 30 Documents MSC: 54H25 Fixed-point and coincidence theorems (topological aspects) 54F05 Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces 47H10 Fixed-point theorems 47H20 Semigroups of nonlinear operators Keywords:partial quasiordering in cone uniform spaces; fixed point; endpoint; maximality principle PDFBibTeX XMLCite \textit{K. Włodarczyk} and \textit{R. Plebaniak}, Fixed Point Theory Appl. 2010, Article ID 175453, 35 p. (2010; Zbl 1201.54039) Full Text: DOI EuDML References: [2] doi:10.2307/1999724 · Zbl 0305.47029 [3] doi:10.1016/0022-247X(74)90025-0 · Zbl 0286.49015 [4] doi:10.2307/2042331 · Zbl 0446.47049 [5] doi:10.2307/2047791 · Zbl 0722.47049 [6] doi:10.1016/j.jmaa.2005.12.004 · Zbl 1094.47049 [7] doi:10.1006/jmaa.1998.6074 · Zbl 0916.47044 [8] doi:10.1016/S0001-8708(76)80004-7 · Zbl 0339.47030 [13] doi:10.1006/jmaa.1996.0323 · Zbl 0859.54042 [17] doi:10.1016/j.na.2008.10.042 · Zbl 1175.54056 [21] doi:10.1007/s11117-004-5919-6 · Zbl 1063.54022 [25] doi:10.1016/0362-546X(86)90069-6 · Zbl 0612.49011 [27] doi:10.1007/BF01847923 · Zbl 0475.54019 [28] doi:10.1016/j.na.2003.07.009 · Zbl 1029.49019 [29] doi:10.1006/jmaa.1996.5168 · Zbl 0870.49015 [30] doi:10.1016/0022-247X(92)90256-D · Zbl 0757.35034 [32] doi:10.1006/jmaa.2000.7151 · Zbl 0983.54034 [33] doi:10.1016/j.jmaa.2005.10.005 · Zbl 1101.49022 [34] doi:10.1007/BF01857592 · Zbl 0551.47025 [35] doi:10.1016/S0362-546X(01)00395-9 · Zbl 1042.54506 [37] doi:10.1016/j.na.2006.05.006 · Zbl 1111.49013 [38] doi:10.1016/j.na.2006.12.018 · Zbl 1133.58006 [39] doi:10.1016/S0362-546X(98)00253-3 · Zbl 1044.49500 [40] doi:10.1090/S0002-9939-98-04605-X · Zbl 0955.54009 [41] doi:10.1016/S0022-247X(03)00470-0 · Zbl 1042.47036 [42] doi:10.1155/S168718200431003X · Zbl 1076.54532 [43] doi:10.1016/j.jmaa.2004.08.019 · Zbl 1059.54031 [45] doi:10.1016/j.jmaa.2005.08.004 · Zbl 1099.49022 [46] doi:10.1016/j.jmaa.2007.01.093 · Zbl 1128.54025 [47] doi:10.1016/j.na.2009.01.004 · Zbl 1170.54016 [49] doi:10.1016/j.na.2009.03.076 · Zbl 1203.54051 [50] doi:10.1016/j.na.2009.07.024 · Zbl 1185.54020 [53] doi:10.1016/j.jmaa.2005.03.087 · Zbl 1118.54022 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.