Generalizations of two theorems due to Nadler regarding the fixed points of a sequence of operators converging to an alpha-contraction are given, by considering sequences converging to in almost contraction. Corollaries for several known types of contractive operators are obtained.
机构:
N Univ Baia Mare, Dept Math & Comp Sci, Baia Mare 430072, RomaniaN Univ Baia Mare, Dept Math & Comp Sci, Baia Mare 430072, Romania
Berinde, Vasile
Pacurar, Madalina
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Univ Babes Bolyai, Fac Econ & Bussiness Adm, Dept Stat Anal Forecast & Math, Cluj Napoca 400591, RomaniaN Univ Baia Mare, Dept Math & Comp Sci, Baia Mare 430072, Romania
机构:
Department of Mathematics, College of Education of Jubail, University of Dammam, P.O. 12020, Industrial JubailDepartment of Mathematics, College of Education of Jubail, University of Dammam, P.O. 12020, Industrial Jubail
Aydi H.
Felhi A.
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College of Sciences, Department of Mathematics, KFU University, Al-hasaDepartment of Mathematics, College of Education of Jubail, University of Dammam, P.O. 12020, Industrial Jubail
Felhi A.
Sahmim S.
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College of Sciences, Department of Mathematics, KFU University, Al-hasaDepartment of Mathematics, College of Education of Jubail, University of Dammam, P.O. 12020, Industrial Jubail