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Weakly (sr)-contractive multi-valued operators

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Abstract

In this paper we introduce the notion of weakly (sr)-contractive multi-valued operator and establish some fixed point theorems for this operator. Our results generalize the results of Popescu.

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References

  1. Banach, S.: Sur les operations dans les ensembles abstraits et leures applications aux equations integrales. Fundam. Math. 3, 133–181 (1922)

    MATH  Google Scholar 

  2. Jleli, M., Nashine, H.K., Samet, B., Vetro, C.: On multivalued weakly Picard operators in partial Hausdorff metric spaces. Fixed Point Theory Appl. 2015, 52 (2015). doi:10.1186/s13663-015-0293-6

    Article  MathSciNet  Google Scholar 

  3. Kamran, T.: Mizoguchi–Takahashi’s type fixed point theorem. Comput. Math. Appl. 57, 507–511 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  4. Karapinar, E., Erhan, I.M., Aksoy, U.: Weak \(\psi \)-contractions on partially ordered metric spaces and applications to boundary value problems. Bound. Value Probl. 2014, 1–15, Art. No. 149 (2014)

  5. Markin, J.T.: Continuous dependence of fixed point sets. Proc. Am. Math. Soc. 38, 545–547 (1973)

    Article  MATH  MathSciNet  Google Scholar 

  6. Nadler Jr, S.B.: Multi-valued contraction mappings. Pac. J. Math. 30, 475–488 (1969)

    Article  MATH  MathSciNet  Google Scholar 

  7. Popescu, O.: A new type of contractive multivalued operators. Bull. Sci. Math. 137, 30–44 (2013)

    Article  MATH  MathSciNet  Google Scholar 

  8. Reich, S.: Fixed points of contractive functions. Boll. Un. Mat. Ital. 5, 26–42 (1972)

    MATH  MathSciNet  Google Scholar 

  9. Reich, S., Zaslavski, A.J.: Genericity in Nonlinear Analysis. Springer, New York (2014)

    Book  MATH  Google Scholar 

  10. Rus, I.A.: Basic problems of the metric fixed point theory revisited (II). Stud. Univ. Babes-Bolyai 36, 81–89 (1991)

    MATH  MathSciNet  Google Scholar 

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Correspondence to Tayyab Kamran.

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Kamran, T., Hussain, S. Weakly (sr)-contractive multi-valued operators. Rend. Circ. Mat. Palermo 64, 475–482 (2015). https://doi.org/10.1007/s12215-015-0211-0

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  • DOI: https://doi.org/10.1007/s12215-015-0211-0

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