Fixed Point Theory and Applications · 2013 · 13 citations · 31 references
Natural SciencesContract LawContract TheoryContractsDifferential EquationsFixed Point TheoryFixed PointsIntegral EquationsMetric GeometryCommon Fixed Point TheoremsContractive MappingsExistence Of Fixed Points
Abstract Certain common fixed point results involving four mappings satisfying generalized contractive conditions on a cone metric type space are obtained. Our results substantially improve and extend a number of known results. An example is given in support of the new results developed here. As an application, we establish the existence of a solution for an implicit integral equation. MSC: 47H09, 47H10, 49M05.
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KKM mappings in metric type spaces
Mohamed A. Khamsi, Nawab Hussain · Nonlinear Analysis · 2010 · 210 citations
FIXED POINT THEOREMS FOR OCCASIONALLY WEAKLY COMPATIBLE MAPPINGS
Gerald Jungck, Β. E. Rhoades · 2006 · 208 citations
Fixed point theorems in metric spaces
Petko D. Proĭnov · Nonlinear Analysis · 2005 · 200 citations