Fixed Point Theory and Applications · 2011 · 55 citations · 15 references
Natural SciencesMathematicsGeometrySpace TheoryTopologyConvex GeometryFixed Point TheoryFixed PointsMetric GeometryMetric SpacesCommon Fixed Point TheoremsContraction MappingsContractive MappingsExistence Of Fixed PointsFixed Point PropertyMetric Fixed Point TheorySubject Classification
Abstract Fixed point and common fixed point results for mappings in tvs-cone metric spaces (with the underlying cone which is not normal) under contractive conditions expressed in the terms of c -distance are obtained. Respective results concerning mappings without periodic points are also deduced. Examples are given to distinguish these results from the known ones. Mathematics Subject Classification (2010) 47H10, 54H25
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