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Some fixed point results for countably condensing mappings

  • Mohamed Yassin Abdallah,
  • Khalid Latrach

摘要

In this paper we establish some fixed point results for continuous countably condensing maps. We derive results of Altman’s type, Leray-Schauder’s type, Krasnosel’skii’s type and Krasnoselskii-Schafer’s type. One of the main tools in our analysis is a result due to S. J. Daher (Theorem 2.1). We conclude the paper by discussing existence results for a nonlinear Volterra integral equation.