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A Fixed Point Theorem for Two Commuting Mappings

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Nonlinear Functional Analysis and Its Applications

Part of the book series: NATO ASI Series ((ASIC,volume 173))

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Abstract

An extensive literature exists about common fixed point theorems of two mappings. Vie refer the reader to the papers of Rhoades [13] where a multitude of contractive conditions involving two mappings are compared. Other results are established by Fisher [4], [9], Meade and Singh [12] and Wong [14].

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References

  1. LB. Ćirić, ‘On common fixed points in uniform spaces’, Publ. Inst. Math. (Beograd), 24(38) (1978), 39–43

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  2. B. Fisher, ‘A common fixed point theorem for commuting mappings’, Math. Sem. Notes, Kobe Univ., 2 (1979), 297–200.

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  3. B. Fisher, ‘Results on common fixed points on bounded metric spaces’, Math. Sem. Notes, Kobe Univ., 7 (1979), 73–80.

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  4. B. Fisher, ‘Results on common fixed points on complete metric spaces’, Glasgow Math. J., 21 (1980), 165–167.

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  5. B. Fisher, ‘Common fixed points of commuting mappings’, Bull. Inst. Math. Acad. Sinica, 9 (1981), 399–406.

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  6. B. Fisher, ‘A fixed point theorem for commuting mappings’, Bull. Malaysian Math. Soc., (2) 5(1982), 65–67.

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  7. 7.B. Fisher, ‘Common fixed points of four mappings’, Bull. Inst. Math. Acad. Sinica, 11 (1983), 103–113.

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  8. B. Fisher, ‘A common fixed point theorem for four mappings on a compact metric space’, Bull. Inst. Math. Acad. Sinica, 12 (1984), 249–252.

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  9. B. Fisher,’A common fixed point theorem’, Publ. Math. Debrecen, to appear

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  10. B. Fisher and S. Sessa, ‘On fixed points of weakly commuting mappings in compact metric spaces’, Jñānābha, to appear.

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  11. S. Kasahara and B.E. Bhoades, ‘Common fixed point theorems in compact metric spaces’, Math. Japon., 2 (1978), 227–229.

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  12. B.A. Meade and S.P. Singh, ‘On common fixed point theorems’, Bull. Austral. Math. Soc., 16 (1977), 49–53.

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  13. B.E. Rhoades, ‘A comparison of various definitions of contractive mappings’, Trans. Amer. Math. Soc., 226 (1977), 257–290.

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  14. C.S. Wong, ‘Fixed point theorems for generalized nonexpansive mappings’, J. Austral. Math. Soc., 18 (1974), 265–276.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Leicester, LE1 7RH, Leicester, England

    B. Fisher

  2. Institute of Mathematics, University of Naples, 80134, Naples, Italy

    S. Sessa

Authors
  1. B. Fisher
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  2. S. Sessa
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Editor information

Editors and Affiliations

  1. Dept. of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, Newfoundland, Canada

    S. P. Singh

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© 1986 D. Reidel Publishing Company

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Fisher, B., Sessa, S. (1986). A Fixed Point Theorem for Two Commuting Mappings. In: Singh, S.P. (eds) Nonlinear Functional Analysis and Its Applications. NATO ASI Series, vol 173. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4632-3_15

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  • DOI: https://doi.org/10.1007/978-94-009-4632-3_15

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8559-5

  • Online ISBN: 978-94-009-4632-3

  • eBook Packages: Springer Book Archive

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