On monotone pointwise contractions in Banach and metric spaces
نویسندگان
چکیده
منابع مشابه
On Asymptotic Pointwise Contractions in Metric Spaces
We discuss the existence of fixed points of asymptotic pointwise mappings in metric spaces. This is the nonlinear version of some known results proved in Banach spaces. We also discuss the case of multivalued mappings. MSC: Primary 47H09; Secondary 47H10.
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1 Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11 000 Belgrade, Serbia 2 Faculty of Electrical Engineering, University of Belgrade, Boulevard Kralja Aleksandra 73, 11 000 Belgrade, Serbia 3 Faculty of Mechanical Engineering, University of Kragujevac, Dositejeva 19, 36 000 Kraljevo, Serbia 4 Department of Applied Mathematics, Changwon National University, Changw...
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Notice that best proximity point results have been studied to find necessaryconditions such that the minimization problemminx∈A∪Bd(x,Tx)has at least one solution, where T is a cyclic mapping defined on A∪B.A point p ∈ A∪B is a best proximity point for T if and only if thatis a solution of the minimization problem (2.1). Let (A,B) be a nonemptypair in a normed...
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ژورنال
عنوان ژورنال: Fixed Point Theory and Applications
سال: 2015
ISSN: 1687-1812
DOI: 10.1186/s13663-015-0381-7