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NEW FIXED POINT THEOREMS OF CONDENSING MAPPINGS SATISFYING THE INTERIOR CONDITION IN BANACH SPACES 被引量：3

NEW FIXED POINT THEOREMS OF CONDENSING MAPPINGS SATISFYING THE INTERIOR CONDITION IN BANACH SPACES
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摘要 In this paper, based on a basic result on condensing mappings satisfying the interior condition, some new fixed point theorems of the condensing mappings of this kind are obtained. As a result, the famous Altman＇s theorem, Roth＇s theorem and Petryshyn＇s theorem are extended to condensing mappings satisfying the interior condition. In this paper, based on a basic result on condensing mappings satisfying the interior condition, some new fixed point theorems of the condensing mappings of this kind are obtained. As a result, the famous Altman＇s theorem, Roth＇s theorem and Petryshyn＇s theorem are extended to condensing mappings satisfying the interior condition.
作者 Shaoyuan Xu Chongjun Zhu Guanghui Zhou
机构地区 Hubei Normal University Huaibei Normal University
出处 《Analysis in Theory and Applications》 2010年第1期43-52,共10页 分析理论与应用（英文刊）
基金 Supported in part by the Foundation of Education Ministry, Anhui Province, China (No: KJ2008A028) Educa-tion Ministry, Hubei Province, China (No: D20072202)
关键词 condensing mappings interior condition fixed point Banach space condensing mappings, interior condition, fixed point, Banach space
分类号 O177.91 [理学—基础数学] O177.2 [理学—基础数学]
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参考文献7

  • 1Petryshyn, W. V., Structure of the Fixed Points Sets of k-set-contractions, Arch. Ration. Mach. Anal., 40(1971/71), 312-318.
  • 2Deimling, K., Nonlinear Functional Analysis, Springer-Verlag, New York/Berlin, 1985.
  • 3Granas, A. and Dugundji, J., Fixed Point Theory, Springer-Verlag, New York/Berlin, 2003.
  • 4Zeidler, E., Nonlinear Functional Analysis and its Applications, Springer-Verlag, New York/Berlin, 1986.
  • 5Nussbaum, R. D., The Fixed Point Index and Fixed Point Theorems for k-set-contractions, Univ. of Chicago, Ph.D. thesis, 1969.
  • 6Browder, F. E., Semicontractive and Semiaccretive Nonlinear Mappings in Banach Spaces, Bull. Amer. Math. Soc., 74(1968), 660-665.
  • 7Antonio, J. M. and Morales, C. H., Fixed Point Theorems Under the Interior Condition, Proc. Amer. Math. Soc., 134(2006), 501-507.

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Analysis in Theory and Applications
2010年 第1期

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