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Two common fixed point theorems for weakly commuting mappings

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Abstract

Two theorems concerning common fixed points of set-valued mappings and singlevalued mappings are established using the concept of weak commutativity indebted to the second author. The first theorem generalizes a recent result of the first author and suitable examples are also given.

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References

  1. J. Daneš, Two fixed point theorems in topological and metric spaces,Bull. Austral. Math. Soc. 14 (1976), 259–265.MR 54: 6110

    Google Scholar 

  2. B. Fisher, Common fixed point theorems for mappings and set-valued mappings,Rostock. Math. Kolloq. 18 (1981), 69–77.MR 83e: 54041

    Google Scholar 

  3. B. Fisher, Common fixed points of four mappings,Bull. Inst. Math. Acad. Sinica 11 (1983), 103–113.MR 85c: 54079

    Google Scholar 

  4. B. Fisher, Common fixed points of mappings and set-valued mappings on metric spaces,Kyungpook Math. J. 25 (1985), 35–42.MR 87a: 54060

    Google Scholar 

  5. B. A. Meade andS. P. Singh, On common fixed point theorems,Bull. Austral. Math. Soc. 16 (1977), 49–53.MR 55: 11234

    Google Scholar 

  6. S. Sessa, On a weak commutativity condition of mappings in fixed point considerations,Publ. Inst. Math. (Beograd)32 (46) (1982), 149–153.MR 85f: 54107

    Google Scholar 

  7. S. Sessa andB. Fisher, On common fixed points of weakly commuting mappings and set-valued mappings,Internat. J. Math. & Math. Sci. 9 (1986), 323–329.MR 87g: 54097

    Google Scholar 

  8. S. Sessa andB. Fisher, Common fixed points of weakly commuting mappings,Bull. Acad. Polon. Sci. 35 (1987), 341–349.Zbl 639: 54031

    Google Scholar 

  9. S. Sessa, M. S. Khan andM. Imdad, Common fixed point theorem under a weak commutativity condition,Glasnik Mat. 21 (41) (1986), 225–235.Zbl 603: 54046

    Google Scholar 

  10. S. Sessa, M. S. Khan andM. Imdad, On some weak conditions of commutativity in common fixed point theorems,Internat. J. Math. & Math. Sci. 11 (1988), 289–296.Zbl 642: 54045

    Google Scholar 

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Fisher, B., Sessa, S. Two common fixed point theorems for weakly commuting mappings. Period Math Hung 20, 207–218 (1989). https://doi.org/10.1007/BF01848124

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  • DOI: https://doi.org/10.1007/BF01848124

Mathematics subject classification numbers, 1980/85

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