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Common Fixed Point Theorems for Pairs of Mappings in d-Complete Topological Spaces

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Abstract

Some common fixed theorems which generalize the result of (Hicks: Int. J. Math. Math. Sci. 15: 435–439, [1992) and (Karayılan, Telci: Sci. Stud. Res., Ser. Math. Inform. 20: 39–48, [2010) are proved for pairs of mappings defined on d-complete topological spaces. Two examples related to our results are also given.

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References

  1. Abdelkrim, A.: A common fixed point theorem in d-complete topological spaces. Southeast Asian Bull. Math. 34, 193–199 (2010)

    MathSciNet  Google Scholar 

  2. Altun, I., Turkoglu, D.: Some fixed point theorems for mappings satisfying contractive condition of integral type on d-complete topological spaces. Fasc. Math. 42, 5–15 (2009)

    MATH  MathSciNet  Google Scholar 

  3. Cho, S.H., Lee, J.H.: Fixed point theorems in d-complete topological spaces. J. Appl. Math. Inform. 28, 1009–1015 (2010)

    MATH  MathSciNet  Google Scholar 

  4. Harder, A.M., Saliga, L.M.: Periodic and fixed point theorems in d-complete topological spaces. Indian. J. Pure Appl. Math. 26, 787–796 (1995)

    MATH  MathSciNet  Google Scholar 

  5. Hicks, T.L.: Fixed point theorems for d-complete topological spaces I. Int. J. Math. Math. Sci. 15, 435–439 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  6. Hicks, T.L., Rhoades, B.E.: Fixed point theorems for d-complete topological spaces II. Math. Japonica 37, 847–853 (1992)

    MATH  MathSciNet  Google Scholar 

  7. Hicks, T.L., Rhoades, B.E.: Fixed points for pair of mappings in d-complete topological spaces. Int. J. Math. Math. Sci. 16, 259–266 (1993)

    Article  MATH  MathSciNet  Google Scholar 

  8. Hicks, T.L., Saliga, L.M.: Fixed point theorems for non-self maps I. Int. J. Math. Math. Sci. 17, 713–716 (1994)

    Article  MATH  MathSciNet  Google Scholar 

  9. Iseki, K.: An approach to fixed point theorems. Math. Semin. Notes Kobe Univ. 3, 193–202 (1975)

    Google Scholar 

  10. Karayılan, H., Telci, M.: Common fixed points of two maps in complete G-metric spaces. Sci. Stud. Res., Ser. Math. Inform. 20, 39–48 (2010)

    MATH  MathSciNet  Google Scholar 

  11. Kasahara, S.: On some generalizations of the Banach contraction theorem. Math. Semin. Notes Kobe Univ. 3, 161–169 (1975)

    Google Scholar 

  12. Kasahara, S.: Some fixed point and coincidence theorems in L-spaces. Math. Semin. Notes Kobe Univ. 3, 181–187 (1975)

    Google Scholar 

  13. Popa, V.: A fixed point theorem for mappings in d-complete topological spaces. Math. Morav. 3, 43–48 (1999)

    MATH  Google Scholar 

  14. Popa, V.: Fixed point theorems for mappings in d-complete topological spaces. Math. Morav. 6, 87–92 (2002)

    MATH  MathSciNet  Google Scholar 

  15. Rao, K.P.R., Lakshmi, K.B., Raju, V.C.C.: Common fixed point theorems in d-complete Hausdorff topological spaces with implicit relations. J. Adv. Res. Pure Math. 3, 93–99 (2011)

    Article  MathSciNet  Google Scholar 

  16. Rao, K.P.R., Rao, K.R.K., Karapınar, E.: Common coupled fixed point theorems in d-complete topological spaces. Ann. Funct. Anal. 3, 107–114 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  17. Saliga, L.M.: Fixed point theorems for non-self maps in d-complete topological spaces. Int. J. Math. Math. Sci. 19, 103–110 (1996)

    Article  MATH  MathSciNet  Google Scholar 

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Acknowledgements

The authors would like to thank the referees for their valuable suggestions.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Trakya University, 22030, Edirne, Turkey

    Hakan Karayılan & Mustafa Telci

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  1. Hakan Karayılan
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  2. Mustafa Telci
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Correspondence to Mustafa Telci.

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Karayılan, H., Telci, M. Common Fixed Point Theorems for Pairs of Mappings in d-Complete Topological Spaces. Vietnam J. Math. 43, 621–627 (2015). https://doi.org/10.1007/s10013-014-0105-z

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  • DOI: https://doi.org/10.1007/s10013-014-0105-z

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