Noncyclic mappings and best proximity pair results in Hilbert and uniformly convex Banach spaces |
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| Authors: | Moosa Gabeleh |
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| Institution: | Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran and School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran |
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| Abstract: | A new class of noncyclic mappings, called generalized noncyclic relatively nonexpansive, is introduced and used to study the existence of best proximity pairs in the setting of uniformly convex Banach spaces. We also obtain a weak convergence theorem for noncyclic relatively nonexpansive mappings in the setting of Hilbert spaces. |
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| Keywords: | 47H10 47H09 46B20 |
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