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Two results in metric fixed point theory (1803.02347v1)
Published 5 Mar 2018 in math.FA and math.CA
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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