Common fixed point theorems for weakly compatible mappings satisfying contractive conditions of integral type

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• 作者：Zeqing Liu ; Yan Han ; Shin Min Kang ; Jeong Sheok Ume
• 关键词：contractive mappings of integral type ; weakly compatible mappings ; common fixed point
• 刊名：Fixed Point Theory and Applications
• 出版年：2014
• 出版时间：December 2014
• 年：2014
• 卷：2014
• 期：1
• 全文大小：284 KB
• 参考文献：1. Branciari, A (2002) A fixed point theorem for mappings satisfying a general contractive condition of integral type. Int. J.?Math. Math. Sci 29: pp. 531-536 CrossRef
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  3. Altun, I, Türko?lu, D (2009) Some fixed point theorems for weakly compatible mappings satisfying an implicit relation. Taiwan. J. Math 13: pp. 1291-1304
  4. Altun, I, Türko?lu, D, Rhoades, BE (2007) Fixed points of weakly compatible maps satisfying a general contractive of integral type. Fixed Point Theory Appl.
  5. Beygmohammadi, M, Razani, A (2010) Two fixed-point theorems for mappings satisfying a general contractive condition of integral type in the modular space. Int. J. Math. Math. Sci.
  6. Djoudi, A, Aliouche, A (2007) Common fixed point theorems of Gregu? type for weakly compatible mappings satisfying contractive conditions of integral type. J. Math. Anal. Appl 329: pp. 31-45 CrossRef
  7. Djoudi, A, Merghadi, F (2008) Common fixed point theorems for maps under a contractive condition of integral type. J.?Math. Anal. Appl 341: pp. 953-960 CrossRef
  8. Jachymski, J (2009) Remarks on contractive conditions of integral type. Nonlinear Anal 71: pp. 1073-1081 CrossRef
  9. Liu, Z, Li, X, Kang, SM, Cho, SY (2011) Fixed point theorems for mappings satisfying contractive conditions of integral type and applications. Fixed Point Theory Appl.
  10. Liu, Z, Li, ZL, Kang, SM (2013) Fixed point theorems of contractive mappings of integral type. Fixed Point Theory Appl.
  11. Liu, Z, Lu, Y, Kang, SM (2013) Fixed point theorems for mappings satisfying contractive conditions of integral type. Fixed Point Theory Appl.
  12. Mongkolkeha, C, Kumam, P (2011) Fixed point and common fixed point theorems for generalized weak contraction mappings of integral type in modular spaces. Int. J. Math. Math. Sci.
  13. Rhoades, BE (2003) Two fixed-point theorems for mappings satisfying a general contractive condition of integral type. Int. J.?Math. Math. Sci 2003: pp. 4007-4013 CrossRef
  14. Sintunavarat, W, Kumam, P (2011) Gregus-type common fixed point theorems for tangential multivalued mappings of integral type in metric spaces. Int. J. Math. Math. Sci.
  15. Sintunavarat, W, Kumam, P (2011) Gregus type fixed points for a tangential multi-valued mappings satisfying contractive conditions of integral type. J. Inequal. Appl.
  16. Vetro, C (2010) On Branciari? theorem for weakly compatible mappings. Appl. Math. Lett 23: pp. 700-705 CrossRef
  17. Vijayaraju, P, Rhoades, BE, Mohanraj, R (2005) A fixed point theorem for a pair of maps satisfying a general contractive condition of integral type. Int. J. Math. Math. Sci 2005: pp. 2359-2364 CrossRef
  
• 刊物主题：Analysis; Mathematics, general; Applications of Mathematics; Differential Geometry; Topology; Mathematical and Computational Biology;
• 出版者：Springer International Publishing
• ISSN：1687-1812

文摘

Two common fixed theorems for weakly compatible mappings satisfying general contractive conditions of integral type in metric spaces are proved and an illustrative example is provided. The results obtained in this paper substantially extend and improve several previous results, particularly Theorem?2.1 of Branciari (Int. J. Math. Math. Sci. 29(9):531-536, 2002), Theorem?2 of Rhoades (Int. J. Math. Math. Sci. 2003(63):4007-4013, 2003) and Theorem?2 of Vijayaraju et al. (Int. J. Math. Math. Sci. 2005(15):2359-2364, 2005). A nontrivial example with uncountably many points is also provided to support the results presented herein. MSC: 54H25.