Approximating a common solution of extended split equality equilibrium and fixed point problems

F. U. Ogbuisi (), F. O. Isiogugu () and J. M. Ngnotchouye ()
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F. U. Ogbuisi: University of KwaZulu-Natal
F. O. Isiogugu: University of KwaZulu-Natal
J. M. Ngnotchouye: University of KwaZulu-Natal

Indian Journal of Pure and Applied Mathematics, 2021, vol. 52, issue 1, 46-61

Abstract: Abstract In this paper, we study an extension of the split equality equilibrium problem called the extended split equality equilibrium problem. We give an iterative algorithm for approximating a solution of extended split equality equilibrium and fixed point problems and obtained a strong convergence result in a real Hilbert space. We further applied our result to solve extended split equality monotone variational inclusion and equilibrium problems. The result of this paper complements and extends results on split equality equilibrium problems in the literature.

Keywords: Strong convergence; Extended split equality equilibrium problem; Hilbert space; $$\lambda $$ λ -demimetric mapping; Fixed point problem; 49J53; 65K10; 49M37; 90C25 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s13226-021-00124-6

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