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Approximating common solution of variational inequality problems for two monotone mappings in Banach spaces

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Abstract

In this paper, we introduce an iterative process which converges strongly to a common solution of variational inequality problems for two monotone mappings in Banach spaces. Furthermore, our convergence theorem is applied to the convex minimization problem. Our theorems extend and unify most of the results that have been proved for the class of monotone mappings.

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Authors and Affiliations

  1. Department of Mathematics, University of Botswana, Pvt. Bag 00704, Gaborone, Botswana

    Habtu Zegeye

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

    Naseer Shahzad

Authors
  1. Habtu Zegeye
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  2. Naseer Shahzad
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Correspondence to Naseer Shahzad.

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Zegeye, H., Shahzad, N. Approximating common solution of variational inequality problems for two monotone mappings in Banach spaces. Optim Lett 5, 691–704 (2011). https://doi.org/10.1007/s11590-010-0235-5

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  • DOI: https://doi.org/10.1007/s11590-010-0235-5

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