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Approximation of a Common Element of the Fixed Point Sets of Multivalued Strictly Pseudocontractive‐Type Mappings and the Set of Solutions of an Equilibrium Problem in Hilbert Spaces

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  • F. O. Isiogugu

Abstract

The strong convergence of a hybrid algorithm to a common element of the fixed point sets of multivalued strictly pseudocontractive‐type mappings and the set of solutions of an equilibrium problem in Hilbert spaces is obtained using a strict fixed point set condition. The obtained results improve, complement, and extend the results on multivalued and single‐valued mappings in the contemporary literature.

Suggested Citation

  • F. O. Isiogugu, 2016. "Approximation of a Common Element of the Fixed Point Sets of Multivalued Strictly Pseudocontractive‐Type Mappings and the Set of Solutions of an Equilibrium Problem in Hilbert Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2016(1).
    • Handle: RePEc:wly:jnlaaa:v:2016:y:2016:i:1:n:3094838
    DOI: 10.1155/2016/3094838
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    References listed on IDEAS

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    1. C. E. Chidume & C. O. Chidume & N. Djitté & M. S. Minjibir, 2013. "Convergence Theorems for Fixed Points of Multivalued Strictly Pseudocontractive Mappings in Hilbert Spaces," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-10, May.
    2. C. E. Chidume & C. O. Chidume & N. Djitté & M. S. Minjibir, 2013. "Convergence Theorems for Fixed Points of Multivalued Strictly Pseudocontractive Mappings in Hilbert Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
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