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On the existence of common fixed points for a pair of lipschitzian mappings in banach spaces

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Abstract

The existence of common fixed points for a pair of Lipschitzian mappings in Banach spaces is proved. By using this result, some common fixed point theorems are also established for these mappings in Hilbert spaces, in Lp spaces, in Hardy spaces Hp, and in Sobolev spaces Hr,p, for 1<p<+∞ and r≥0.

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Authors and Affiliations

  1. Department of Mathematics, Shanghai Normal University, 200234, Shanghai, P.R. China

    Zeng Lu-chuan Professor

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  1. Zeng Lu-chuan Professor
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Communicated by ZHANG Shi-sheng

Foundation items: the National Natural Science Foundation of China (19801023); the Teaching and Research Award Fund for Outstanding Young Teachers in Higher Education Institutions of MOE, P.R. China

Biography: ZENG Lu-chuan (1965-)

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Lu-chuan, Z. On the existence of common fixed points for a pair of lipschitzian mappings in banach spaces. Appl Math Mech 24, 344–354 (2003). https://doi.org/10.1007/BF02438272

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  • DOI: https://doi.org/10.1007/BF02438272

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