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On the fixed-point theory for local $ k$-pseudocontractions


Author: Claudio Morales
Journal: Proc. Amer. Math. Soc. 81 (1981), 71-74
MSC: Primary 47H10
DOI: https://doi.org/10.1090/S0002-9939-1981-0589138-4
MathSciNet review: 589138
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Abstract: Two commonly used boundary conditions which imply existence of fixed points for local strong pseudocontractions in Banach spaces are compared, a previous fixed-point theorem for this class of mappings is improved, and an almost fixed-point result is obtained for local pseudocontractions.


References [Enhancements On Off] (What's this?)

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  • [2] W. A. Kirk and C. Morales, Fixed point theorems for local strong pseudo-contractions, nonlinear analysis, Theory, Methods, and Applications 4 (1980), 363-368. MR 563815 (81a:47056)
  • [3] W. A. Kirk and R. Schöneberg, Some results on pseudo-contractive mappings, Pacific J. Math. 71 (1977), 89-100. MR 0487615 (58:7234)
  • [4] -, Mapping theorems for local expansions in metric and Banach spaces, J. Math. Anal. Appl. 72(1979), 114-121. MR 552327 (81c:47053)
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  • [6] C. Morales, Pseudo-contractive mappings and the Leray-Schauder boundary condition, Comment. Math. Univ. Carolinae 20 (1979), 745-756. MR 555187 (80k:47067)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1981-0589138-4
Keywords: Local strong pseudocontraction, local pseudocontraction, fixed points
Article copyright: © Copyright 1981 American Mathematical Society

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