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Convergence and existence results for best proximity points

✍ Scribed by M.A. Al-Thagafi; Naseer Shahzad

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
478 KB
Volume
70
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

Best proximity points for cyclic Meir–Ke
Best proximity points for cyclic Meir–Keeler contractions
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We introduce a notion of cyclic Meir-Keeler contractions and prove a theorem which assures the existence and uniqueness of a best proximity point for cyclic Meir-Keeler contractions. This theorem is a generalization of a recent result due to Eldred and Veeramani.

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In this paper, we consider the extrapolated iteration and Mann's iteration scheme for computing the fixed point of a real Lipschitz function. Convergence of various types of fixed point iterations is well known for a self mapping which is a contraction. Here, we prove convergence o~ both methods wit