Systems of variational inequalities and multiple-set split equality fixed-point problems for countable families of multivalued type-one mappings of the demicontractive type

Authors

  • C. Izuchukwu
  • O. T. Mewomo
  • C. C. Okeke

Abstract

UDC 517.9
Our main aim is to introduce an iterative algorithm for the approximation of a common solution to a split-equality 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 in the literature.

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Published

25.11.2019

Issue

Section

Research articles

How to Cite

Izuchukwu, C., et al. “Systems of Variational Inequalities and Multiple-Set Split Equality Fixed-Point Problems for Countable Families of Multivalued Type-One Mappings of the Demicontractive Type”. Ukrains’kyi Matematychnyi Zhurnal, vol. 71, no. 11, Nov. 2019, pp. 1480-01, https://umj.imath.kiev.ua/index.php/umj/article/view/1530.