New Results and Generalizations for Approximate Fixed Point Property and Their Applications
Keyword(s):
We first introduce the concept of manageable functions and then prove some new existence theorems related to approximate fixed point property for manageable functions andα-admissible multivalued maps. As applications of our results, some new fixed point theorems which generalize and improve Du's fixed point theorem, Berinde-Berinde's fixed point theorem, Mizoguchi-Takahashi's fixed point theorem, and Nadler's fixed point theorem and some well-known results in the literature are given.
1990 ◽
Vol 71
(2)
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pp. 211-223
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2011 ◽
Vol 271
(3-4)
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pp. 1271-1285
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2012 ◽
Vol 2012
(1)
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2010 ◽
Vol 365
(1)
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pp. 171-175
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2009 ◽
Vol 25
(2)
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pp. 467-479
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Keyword(s):
2013 ◽
Vol 2013
(1)
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