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Fixed Point Curve for Weakly Inward Contractions and Approximate Fixed Point Property

Fixed Point Curve for Weakly Inward Contractions and Approximate Fixed Point Property
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摘要 In this paper, we discuss the concept of fixed point curve for linear interpolations of weakly inward contractions and establish necessary condition for a nonex- pansive mapping to have approximate fixed point property. In this paper, we discuss the concept of fixed point curve for linear interpolations of weakly inward contractions and establish necessary condition for a nonex- pansive mapping to have approximate fixed point property.
出处 《Analysis in Theory and Applications》 2013年第4期342-347,共6页 分析理论与应用(英文刊)
关键词 Nonexpansive mapping CONTRACTION weakly inward contraction approximate fixedpoint property. Nonexpansive mapping, contraction, weakly inward contraction, approximate fixedpoint property.
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参考文献6

  • 1Huagui Duan, Shaoyuan Xu and Guozh En Li, Fixed Points of weakly inward l-set contraction mappings, J. Korean Math. Soc., 45(6) (2008), 1725-1740.
  • 2Madalina Berinde, Approximate Fixed Point Theorems, Studia Univ. Babes-Bolyai, Mathematica, Volume LI, Number 1, March 2006.
  • 3R. P. Agarwal, Donal O'Regan and D. R. Sahu, Fixed Point Theory for Lipschitzian Type Mappings with Applications, Springer Science & Business Media, LLC, 2009.
  • 4Sam B. Nadler and K. Ushijima, Fixed point curves for linear interpolations of contraction maps, Appl. Anal., 29 (1988).
  • 5T. Vidali, Fixed point curve generated by nonexpansive mappings, Fixed Point Theory, 6(2) (2005),333-339.
  • 6W. A. Kirk, Approximate fixed points of nonexpansive maps, Fixed Point Theory, 10(2) (2009),275-288.

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