Approximate fixed points for nonexpansive mappings in uniformly convex spaces
نویسندگان
چکیده
منابع مشابه
Approximating fixed points of α-nonexpansive mappings in uniformly convex Banach spaces and CAT(0) spaces
An existence theorem for a fixed point of an α-nonexpansive mapping of a nonempty bounded, closed and convex subset of a uniformly convex Banach space is recently established by Aoyama and Kohsaka with a non-constructive argument. In this paper, we show that appropriate Ishihawa iterate algorithms ensure weak and strong convergence to a fixed point of such a mapping. Our theorems are also exten...
متن کاملApproximating fixed points of α-nonexpansive mappings in uniformly convex Banach spaces and CAT() spaces
An existence theorem for a fixed point of an α-nonexpansive mapping of a nonempty bounded, closed and convex subset of a uniformly convex Banach space has been recently established by Aoyama and Kohsaka with a non-constructive argument. In this paper, we show that appropriate Ishikawa iterate algorithms ensure weak and strong convergence to a fixed point of such a mapping. Our theorems are also...
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In 1974, Lim 1 developed a result concerning the existence of fixed points for multivalued nonexpansive self-mappings in uniformly convex Banach spaces. This result was extended to nonself-mappings satisfying the inwardness condition independently by Downing and Kirk 2 and Reich 3 . This result was extended to weak inward mappings independently by Lim 4 and Xu 5 . Recently, Dhompongsa et al. 6 ...
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In this paper, we introduce a one-step iterative scheme for finding a common fixed point of a finite family of multivalued quasi-nonexpansive mappings in a real uniformly convex Banach space. We establish weak and strong convergence theorems of the propose iterative scheme under some appropriate conditions.
متن کاملOn fixed points of fundamentally nonexpansive mappings in Banach spaces
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 con...
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ژورنال
عنوان ژورنال: Annales Polonici Mathematici
سال: 1990
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap-51-1-189-193