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Fixed Point Theorems of Krasnosel’skii Type In Locally Convex Spaces and Applications to Integral Equations

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The paper presents some fixed point theorems for operators of the form U + C on a bounded closed convex subset of a locally convex space, where C is completely continuous and Un satisfies contraction type conditions. Applications to integral equations in a Banach space are presented.

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Authors and Affiliations

  1. Dai Hock SuPhan-School of Education, 280 An Duong Vuong, HoChiMinh City, Vietnam

    Le Hoan Hoa

  2. Department of Mathematics, University of Utah, Salt Lake City, UT 84112, USA

    Klaus Schmitt

Authors
  1. Le Hoan Hoa
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  2. Klaus Schmitt
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Hoa, L.H., Schmitt, K. Fixed Point Theorems of Krasnosel’skii Type In Locally Convex Spaces and Applications to Integral Equations. Results. Math. 25, 290–314 (1994). https://doi.org/10.1007/BF03323412

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  • DOI: https://doi.org/10.1007/BF03323412

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