Regularized Gap Functions and Error Bounds for Split Generalized Mixed Vector Equilibrium Problems on Hadamard Manifolds

ABSTRACT In this article, we introduce a split generalized mixed vector equilibrium problem on Hadamard manifolds. We construct a gap function and a generalized regularized gap function for this problem. Furthermore, we derive an error bound for the considered problem in terms of generalized regularized gap function. Furthermore, we illustrate the results through some examples. The concepts and results presented in this article extend and unify the existing results in the literature.