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Fixed Point Theorems for the Sum of Two Multivalued Mappings and an Application to an Integral Inclusion

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Abstract

In this paper we establish some fixed point results for the sum of two multivalued mappings with weakly sequentially closed graph under weak topology features in a Banach space. An application to illustrate our theory is included.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, Sfax University, LA 1171, 3000, Sfax, Tunisia

    Amro Alsheikh Ali & Afif Ben Amar

  2. School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland

    Donal O’Regan

  3. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia

    Donal O’Regan

Authors
  1. Amro Alsheikh Ali
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  2. Afif Ben Amar
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  3. Donal O’Regan
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Corresponding author

Correspondence to Afif Ben Amar.

Additional information

Communicated by Poom Kumam.

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Ali, A.A., Ben Amar, A. & O’Regan, D. Fixed Point Theorems for the Sum of Two Multivalued Mappings and an Application to an Integral Inclusion. Bull. Malays. Math. Sci. Soc. 40, 1307–1320 (2017). https://doi.org/10.1007/s40840-015-0110-8

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  • DOI: https://doi.org/10.1007/s40840-015-0110-8

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