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Common fixed points for a rational inequality under weak compatible maps of type (A) (Dedicated to the late P. V. Lakshmaiah)

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In this paper, we present a unique common fixed point theorem under weak compatible mappings of type(A), which extends and generalizes a result of Achari [1].

Abstract

In this paper, we present a unique common fixed point theorem under weak compatible mappings of type(A), which extends and generalizes a result of Achari [1].

참고문헌 (19)

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  4. Fisher, B., "An addendum to \mappings with a common xed point", Math. Sem. Notes, 8, pp.513~514 (1980)
  5. Fisher, B, "Common xed point of four mappings", Inst. Math. Acad. Sinica, 11, pp.103~113 (1983)
  6. Hadzic, O., "Common xed point theorems for family of mappings on complete metric spaces", Math. Japonica, 29, pp.127~134 (1984)
  7. Jungck, G., "Commuting mappings and xed points", Amer. Math. Monthly, 83, pp.261~263 (1976)
  8. Jungck, G., "Compatible mappings and common xed points", Internat. J. Math. and Math. Sci, 9, pp.771~779 (1986)
  9. Jungck, G., "Compatible mappings and common xed points(2)", Internat. J. Math. and Math. Sci, 11, pp.285~288 (1988)
  10. Jungck, G., "Compatible mappings of type (A) and common xed point theorems", Math. Japonica, 38, pp.381~390 (1993)
  11. Kang, S.M., "Common xed points of compatible mappings", Internat. J. Math. and Math. Sci, 13, pp.61~66 (1990)
  12. Khan, M.S, "Fixed point theorems", Comm. Fac. Sci. Univ. Ankara, 32, pp.105~115 (1983)
  13. Khan, M.S, "Some xed point theorems for commuting mappings", Math. Nachr, 106, pp.323~326 (1982)
  14. Kubiak, T., "Common xed points of pair wise commuting maps", Math. Nachr, 118, pp.123~127 (1984)
  15. Murthy, P. P., "Important tools and possible applications of metric xed point theory", Nonlinear Analysis, 44(5), pp.3479~3490 (2001)
  16. Naidu, S. V. R, "Common xed points for four self maps on a metric space", Indian J. Pure Appl. Math, 16, pp.1089~1103 (1985)
  17. Sessa, S., "On a weak commutativity condition of mappings in xed point considerations", Publ. Inst. Math, 32, pp.149~153 (1982)
  18. Singh, S. L, "Common xed points of mappings in complete metric spaces", Proc. Nat. Acad. Aci. India Sect. (A), 51, pp.41~44 (1981)
  19. Singh, S.L., "On common xed Points of commuting mappings", Math. Sem. Notes, 5, pp.131~134 (1977)

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