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Volume 3, Issue 3, 1 December 2019, Pages 357-364
Abstract. The purpose of this paper is to use a modified hybrid algorithm for finding a minimizer of a non-smooth composite minimization problem in Banach spaces. Without the assumptions that the potential function is Fréchet differentiable and its gradient is L-Lipschitz continuous, we prove that the iterative sequence generated by the hybrid algorithm converges strongly to a minimizer of the composite optimization problem in Banach spaces.
How to Cite this Article:
Shih-sen Chang, Min Liu, Liangcai Zhao, Jinfang Tang, A modified hybrid algorithm for solving a composite minimization problem in Banach spaces, J. Nonlinear Var. Anal. 3 (2019), 357-364.