Pythagorean Property and Best-Proximity Point Theorems
نویسندگان
چکیده
The aim of this paper is to prove the existence and convergence theorems for cyclic contractions. We introduce a notion called proximally complete pair (A,B) on a metric space, which unify the earlier notions that are used to prove the existence of a best proximity point for a cyclic contraction. By observing geometrical properties on a Hilbert space, we introduce Pythagorean property and use this property to give sufficient conditions for a cyclic map to be cyclic contraction.
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ورودعنوان ژورنال:
- J. Optimization Theory and Applications
دوره 164 شماره
صفحات -
تاریخ انتشار 2015