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GENERALIZATIONS OF THE SUZUKI AND KANNAN FIXED POINT THEOREMS IN G-CONE METRIC SPACES 被引量：1

GENERALIZATIONS OF THE SUZUKI AND KANNAN FIXED POINT THEOREMS IN G-CONE METRIC SPACES
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摘要 In this paper we develop the Banach contraction principle and Kannan fixed point theorem on generalized cone metric spaces. We prove a version of Suzuki and Kannan type generalizations of fixed point theorems in generalized cone metric spaces. In this paper we develop the Banach contraction principle and Kannan fixed point theorem on generalized cone metric spaces. We prove a version of Suzuki and Kannan type generalizations of fixed point theorems in generalized cone metric spaces.
作者 Mohammad Sadegh Asgari Zohreh Abbasbigi
机构地区 Islamic Azad University
出处 《Analysis in Theory and Applications》 2012年第3期248-262,共15页 分析理论与应用（英文刊）
关键词 fixed point D-metric space 2-metric space generalized cone metric space Kannan mapping generalized Kannan mapping contractive mapping fixed point, D-metric space, 2-metric space, generalized cone metric space,Kannan mapping, generalized Kannan mapping, contractive mapping
分类号 O177.91 [理学—基础数学]
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参考文献9

  • 1Banach, S. Sur Les Operations Dans Les Ensembles Abstraits et Leur Application Aux Equations Integrales, Fund. Math., 3(1922), 133-181.
  • 2Beg, I., Abbas, M. and Nazir, T., Generalized Cone Metric Spaces, J. Nonlinear Sci. Appl., 3:1(2010), 21-31.
  • 3Dhage, B. C., Generalized Metric Space and Mapping with Fixed Point, Bull. Calcutta. Math. Soc., 84(1992), 329-336.
  • 4Gahler, S., 2-Metriche Raume Und Ihre Topologische Strukture, Math. Nachr., 26(1963), 115-148.
  • 5Huang, L. G. and Zhang, X., Cone Metric Spaces and Fixed Point Theorems of Contractive Mappings, J. Math. Anal. Appl., 332(2007), 1468-1476.
  • 6Kikkawa, M. and Suzuki, T., Some Similarity Between Contractions and Kannan Mappings, Fixed Point Theory and Applications, dio: 10.1155/2008/649749.
  • 7Mustafa, Z. and Sims, B., A New Approach to Generalized Metric Spaces, Journal of Nonlinear and Convex Analysis, 7:2(2006 ), 289-297.
  • 8Rezapour, Sh. and Hamlbarani, R., Some Notes on the Paper "Cone Metric Spaces and Fixed Point Theorems of Contractive Mappings", J. Math. Anal. Appl., 345:2 (2008), 719-724.
  • 9Suzuki, T., A Generalized Banach Contraction Principle which Characterizes Metric Completeness, Proc. Amer. Math. Soc., 136:5 (2008) 1861-1869.

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Analysis in Theory and Applications
2012年 第3期

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