On the Best Proximity Points for <i>p</i>–Cyclic Summing Contractions

On the Best Proximity Points for <i>p</i>–Cyclic Summing Contractions

We present a condition that guarantees the existence and uniqueness of fixed (or best proximity) points in complete metric space (or uniformly convex Banach spaces) for a wide class of cyclic maps, called <i>p</i>–cyclic summing maps. These results generalize some known results from fixe...

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Bibliographic Details
Main Authors: Miroslav Hristov, Atanas Ilchev, Boyan Zlatanov
Format: Article
Language:English
Published: MDPI AG 2020-07-01
Series:Mathematics
Subjects:
fixed point
cyclical operator
contractive condition
best proximity point
uniformly convex Banach space
<i>p</i>–summing contraction
Online Access:https://www.mdpi.com/2227-7390/8/7/1060

Internet

https://www.mdpi.com/2227-7390/8/7/1060

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