Convergence Theorems for Infinite Family of Multivalued Quasi-Nonexpansive Mappings in Uniformly Convex Banach Spaces
Keyword(s):
We introduce an iterative method for finding a common fixed point of a countable family of multivalued quasi-nonexpansive mapping{Ti}in a uniformly convex Banach space. We prove that under certain control conditions, the iterative sequence generated by our method is an approximating fixed point sequence of eachTi. Some strong convergence theorems of the proposed method are also obtained for the following cases: allTiare continuous and one ofTiis hemicompact, and the domainKis compact.
1991 ◽
Vol 43
(1)
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pp. 153-159
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2005 ◽
Vol 2005
(10)
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pp. 1643-1653
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Keyword(s):
1989 ◽
Vol 40
(1)
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pp. 113-117
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Keyword(s):
2005 ◽
Vol 2005
(11)
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pp. 1685-1692
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