On fixed points of fundamentally nonexpansive mappings in Banach spaces
Publish Year: 1394
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJNAA-7-1_021
تاریخ نمایه سازی: 11 آذر 1401
Abstract:
We first obtain some properties of a fundamentally nonexpansive self-mapping on a nonempty subset of a Banach space and next show that if the Banach space is having the Opial condition, then the fixed points set of such a mapping with the convex range is nonempty. In particular, we establish that if the Banach space is uniformly convex, and the range of such a mapping is bounded, closed and convex, then its the fixed points set is nonempty, closed and convex.
Keywords:
Fixed point , fundamentally nonexpansive mappings , nonexpansive mappings , Opial's condition , uniformly convex Banach spaces
Authors
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Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, Iran