International Journal of Nonlinear Analysis and Applications

Solutions of system of split mixed equilibrium and fixed points problems

Document Type : Research Paper

Authors

1 Department of Mathematics, Faculty of Science, Erzurum Technical University, Erzurum, 25700, Türkiye

2 Department of Mathematics, University of Eswatini, Private Bag, Kwaluseni, Eswatini

Abstract

In this paper, we introduce a new iterative method for a system of split mixed equilibrium problems and an infinite family of demimetric mappings in a real Hilbert space. Then, we establish that the sequence generated by our proposed algorithm converges strongly to a common element in the solutions set of a system of split mixed equilibrium problems and the common fixed points set of an infinite family of demimetric mappings. Our results improve and generalize some well-known recent results in the literature.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 14, Issue 9
September 2023
Pages 1-15
  • Receive Date: 08 August 2022
  • Revise Date: 12 May 2023
  • Accept Date: 11 June 2023