Journal of Nonlinear and Variational Analysis

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Volume 1, Issue 1, 1 April 2017, Pages 111-126

 

Abstract. The purpose of this paper is to investigate a generalized hybrid steepest descent method and develop a convergence theory for solving monotone variational inequality over the fixed point set of a mapping which is not necessarily Lipschitz continuous. Using this result, we consider the convex minimization problem for a continuously differentiable convex function whose gradient is not necessarily Lipschitzian.

 

How to Cite this Article:
D.R. Sahu, J.C. Yao, A generalized hybrid steepest descent method and applications, J. Nonlinear Var. Anal. 1 (2017), 111-126.