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Systems of Variational Inequalities and Multiple-Set Split Equality Fixed-Point Problems for Countable Families of Multivalued Type-One Mappings of the Demicontractive Type

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Ukrainian Mathematical Journal Aims and scope

Our main aim is to introduce an iterative algorithm for the approximation of a common solution to a splitequality problem for finite families of variational inequalities and the split equality fixed-point problem. By using our iterative algorithm, we state and prove a strong convergence theorem for the approximation of an element in the intersection of the set of solutions of the split-equality problem for finite families of variational inequalities and the set of solutions of the split equality fixed-point problem for countable families of multivalued type-one mappings of the demicontractive type. Finally, we apply our result to study related problems. Our result supplements and extends some recent results available from the literature.

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Authors and Affiliations

  1. School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa

    C. Izuchukwu, C. C. Okeke & O. T. Mewomo

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  1. C. Izuchukwu
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  2. C. C. Okeke
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  3. O. T. Mewomo
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Correspondence to O. T. Mewomo.

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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 71, No. 11, pp. 1480–1501, November, 2019.

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Izuchukwu, C., Okeke, C.C. & Mewomo, O.T. Systems of Variational Inequalities and Multiple-Set Split Equality Fixed-Point Problems for Countable Families of Multivalued Type-One Mappings of the Demicontractive Type. Ukr Math J 71, 1692–1718 (2020). https://doi.org/10.1007/s11253-020-01742-9

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  • DOI: https://doi.org/10.1007/s11253-020-01742-9

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