2011 · 20 citations · 11 references
Natural SciencesMathematicsDifferential EquationsBoundary-value ProblemsFixed Point TheoryFixed PointsInitial Value ProblemsIntegral EquationsMetric GeometryCommon Fixed Point TheoremsContractive MappingsExistence Of Fixed PointsMetric Fixed Point TheoryOrdered Metric SpacesPartial Metric SpacesUniqueness Of Fixed Points
A common fixed point result for weakly increasing mappings satisfying generalized contractive type of Zhang in ordered partial metric spaces are derived. Also as an application we prove the existence and uniqueness of common solutions for a couple of integral equations.
11
S. G. Matthews · Annals of the New York Academy of Sciences · 1994 · 1.2K citations
Generalized contractions on partial metric spaces
İshak Altun, Hakan Şimşek · Topology and its Applications · 2010 · 331 citations