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2001 FIXED POINTS AND APPROXIMATE FIXED POINTS IN PRODUCT SPACES
R. Espínola, W. A. Kirk
Taiwanese J. Math. 5(2): 405-416 (2001). DOI: 10.11650/twjm/1500407346

Abstract

The paper deals with the general theme of what is known about the existence of fixed points and approximate fixed points for mappings which satisfy geometric conditions in product spaces. In particular it is shown that if X and Y are metric spaces each of which has the fixed point property for nonexpansive mappings, then the product space $(X \times Y )_\infty$ has the fixed point property for nonexpansive mappings satisfying various contractive conditions. It is also shown that the product space $H = (M \times K)_\infty$ has the approximate fixed point property for nonexpansive mappings wheneverM is a metric space which has the approximate fixed point property for such mappings and K is a bounded convex subset of a Banach space.

Citation

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R. Espínola. W. A. Kirk. "FIXED POINTS AND APPROXIMATE FIXED POINTS IN PRODUCT SPACES." Taiwanese J. Math. 5 (2) 405 - 416, 2001. https://doi.org/10.11650/twjm/1500407346

Information

Published: 2001
First available in Project Euclid: 18 July 2017

zbMATH: 0984.54045
MathSciNet: MR1832177
Digital Object Identifier: 10.11650/twjm/1500407346

Rights: Copyright © 2001 The Mathematical Society of the Republic of China

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Vol.5 • No. 2 • 2001
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