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Common Fixed Points of Generalized Contractive Mappings

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In this paper, we prove some common fixed point theorems of compatible mappings under the generalized contractive type in metric spaces and also give some examples to illustrate our main theorems. This results extend the results of several authors.

Abstract

In this paper, we prove some common fixed point theorems of compatible mappings under the generalized contractive type in metric spaces and also give some examples to illustrate our main theorems. This results extend the results of several authors.

참고문헌 (12)

  1. K. M. Das, "Common xed point theorems for commuting maps on ametric space", Proc. Amer. Math. Soc, 77, pp.369~373 (1979)
  2. G. E. Hardy, "A generalization of a xed point theorem of Reich", Canad. Math. Bull, 16, pp.201~206 (1973)
  3. G. Jungck, "Commuting maps and xed points", Amer. Math. Monthly, 83, pp.261~263 (1976)
  4. G. Jungck, "Compatible mappings and common xed points", Int. J. Math. Math. Sci, 9, pp.771~779 (1986)
  5. G. Jungck, "Compatible mappings and common xed points (2)", Int. J. Math. Math. Sci, 11, pp.285~288 (1988)
  6. G. Jungck, "Common xed points for commuting and compatible maps on compacta", Proc. Amer. Math. S, 103, pp.977~983 (1988)
  7. S.M. Kang, "Common xed point theorems", Math. Japon, 37(6), pp.1031~1039 (1992)
  8. M. S. Khan, "Some common xed point theorems", Glasnik Mat, 18(38), pp.321~326 (1983)
  9. S. Park, "Extensions of a common xed point theorem of Mier and Keeler", Ark. Math, 19, pp.223~228 (1981)
  10. B. E. Rhoades, "Some xed point theorems for Hardy-Rogers type mappings", Int. J. Math. Math. Sci, 7, pp.75~87 (1984)
  11. S. Sessa, "On a weak commutativity condition of mappings in xed point considerations", Publ. Inst. Math, 32(46), pp.149~153 (1982)
  12. S. L. Singh, "A xed point theorem", Indian J. Pure Appl. Math, 11, pp.1584~1586

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