Fixed Point Theory and Applications (Jan 2010)

Fixed Point Theorems for ws-Compact Mappings in Banach Spaces

  • Taoudi Mohamed-Aziz,
  • O'Regan Donal,
  • Agarwal RaviP

Journal volume & issue
Vol. 2010, no. 1
p. 183596

Abstract

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Abstract We present new fixed point theorems for ws-compact operators. Our fixed point results are obtained under Sadovskii, Leray-Schauder, Rothe, Altman, Petryshyn, and Furi-Pera type conditions. An example is given to show the usefulness and the applicability of our results.