
Summary: In this paper, we propose a simultaneous projected subgradient-proximal type iterative algorithm to solve a split equality equilibrium problem with pseudomonotone bifunctions in 2-uniformly convex and uniformly smooth Banach spaces. We obtain convergence results under some mild conditions on the bifunctions. Furthermore, we also give applications to the domain decomposition for PDEs.
Numerical optimization and variational techniques, Iterative procedures involving nonlinear operators, split equality equilibrium problem, Applications of operator theory to differential and integral equations, projected subgradient-proximal method, pseudomonotone bifunctions, 2-uniformly convex Banach space, Monotone operators and generalizations, uniformly smooth Banach space
Numerical optimization and variational techniques, Iterative procedures involving nonlinear operators, split equality equilibrium problem, Applications of operator theory to differential and integral equations, projected subgradient-proximal method, pseudomonotone bifunctions, 2-uniformly convex Banach space, Monotone operators and generalizations, uniformly smooth Banach space
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