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Common coincidence- and fixed-point theorems for a class of nonlinear hybrid mappings

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Abstract

The concepts of multiple quasicompatibility for single-valued and multi-valued mappings are defined. Some common fixed- and coincidence-point theorems for single-valued and multi-valued mappings satisfying a ϕ-type condition are obtained by an iteration scheme. The conditions are not assumed to be of a contractive type.

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References

  1. Y. J. Cho, B. Fisher, and G. S. Genga, “Coincidence theorems for nonlinear hybrid contractions,” Internat. J. Math. Math. Sci. 20(2), 249–256 (1997).

    Article  MATH  MathSciNet  Google Scholar 

  2. H. Kaneko and S. Sessa, “Fixed-point theorems for compatible multi-valued and single-valued mapping,” Internat. J. Math. Math. Sci. 12(2), 257–262 (1989).

    Article  MATH  MathSciNet  Google Scholar 

  3. N. Shahzad and T. Kamran, “Coincidence points and R-weakly commuting maps,” Arch. Math. (Brno) 37(3), 179–183 (2001).

    MATH  MathSciNet  Google Scholar 

  4. H. K. Pathak, “Fixed-point theorems for weak compatible multi-valued and single-valued mapping,” Acta Math. Hungar. 67(1–2), 69–78 (1995).

    Article  MATH  MathSciNet  Google Scholar 

  5. H. K. Pathak, S. M. Kang, and Y. J. Cho, “Coincidence-and fixed-point theorems for nonlinear hybrid generalized contractions,” Czechoslovak Math. J. 48(2), 341–357 (1998).

    Article  MATH  MathSciNet  Google Scholar 

  6. S. B. Nadler, “Multivalued contraction mappings,” Pacific J. Math. 30, 475–488 (1969).

    MATH  MathSciNet  Google Scholar 

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Correspondence to Yisheng Lai.

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Published in Russian in Matematicheskie Zametki, 2008, Vol. 83, No. 3, pp. 361–369.

The text was submitted by the author in English.

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Lai, Y. Common coincidence- and fixed-point theorems for a class of nonlinear hybrid mappings. Math Notes 83, 327–334 (2008). https://doi.org/10.1134/S0001434608030048

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  • DOI: https://doi.org/10.1134/S0001434608030048

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