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Coincidence point theorems for multivalued f-weak contraction mappings and applications

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Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas Aims and scope Submit manuscript

Abstract

We prove the existence of coincidence points and common fixed points for multivalued f-weak contraction mappings which assume closed values only. As an application, related common fixed point, invariant approximation, random coincidence point and random invariant approximation results are also obtained. Our results provide extensions as well as substantial improvements of several well known results in the existing literature.

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Authors and Affiliations

  1. Department of Mathematics, Lahore University of Management Sciences, Lahore, 54792, Pakistan

    Mujahid Abbas

  2. Department of Mathematics, King Abdul Aziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia

    Nawab Hussain

  3. Department of Mathematics, Indiana University, Bloomington, IN, 47405-7106, USA

    Billy E. Rhoades

Authors
  1. Mujahid Abbas
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  2. Nawab Hussain
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  3. Billy E. Rhoades
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Correspondence to Mujahid Abbas.

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Abbas, M., Hussain, N. & Rhoades, B.E. Coincidence point theorems for multivalued f-weak contraction mappings and applications. RACSAM 105, 261–272 (2011). https://doi.org/10.1007/s13398-011-0036-4

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  • DOI: https://doi.org/10.1007/s13398-011-0036-4

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