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Two results in metric fixed point theory

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Abstract.

We establish two fixed point theorems for certain mappings of contractive type. The first result is concerned with the case where such mappings take a nonempty, closed subset of a complete metric space X into X, and the second with an application of the continuation method to the case where they satisfy the Leray–Schauder boundary condition in Banach spaces.

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Authors and Affiliations

  1. Department of Mathematics, The Technion-Israel Institute of Technology, 32000, Haifa, Israel

    Daniel Reem, Simeon Reich & Alexander J. Zaslavski

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  1. Daniel Reem
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  2. Simeon Reich
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  3. Alexander J. Zaslavski
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Correspondence to Simeon Reich.

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Reem, D., Reich, S. & Zaslavski, A.J. Two results in metric fixed point theory. J.fixed point theory appl. 1, 149–157 (2007). https://doi.org/10.1007/s11784-006-0011-4

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  • DOI: https://doi.org/10.1007/s11784-006-0011-4

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