Two results in metric fixed point theory |
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Authors: | Daniel Reem Simeon Reich Alexander J Zaslavski |
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Institution: | (1) Department of Mathematics, The Technion-Israel Institute of Technology, 32000 Haifa, Israel |
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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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Keywords: | 47H09 47H10 54H25 |
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