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Fixed points and best proximity points of a cyclic map |
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| รหัสดีโอไอ | |
| Title | Fixed points and best proximity points of a cyclic map |
| Creator | Annop Kaewkhao |
| Contributor | Kritsana Neammanee |
| Publisher | Chulalongkorn University |
| Publication Year | 2553 |
| Keyword | Banach spaces, Best proximity point, Contraction map, Data dependce |
| Abstract | This thesis contains two parts. In the first part, we provide a positive answer to a question raised by Al-Thagafi and Shahzad on the existence of a best proximity point for a cyclic ℓ -contraction map in a reflexive Banach space. Moreover, we extend the Al-Thagafi and Shahzad theorem to metric spaces with property UC. In the second part, we prove that the Picard projection iteration sequence converges to a fixed point and the rate of convergence is given. We also prove the generalize Collage Theorem for a multi-valued weak contraction map. In addition, we extend the cyclic condition to multi-valued maps and study the existence of a fixed point and the existence of a best proximity point for the map having been extended. Moreover, we study data dependence problem for a special class of multi-valued maps. |
| URL Website | cuir.car.chula.ac.th |
