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Received February 11, 2021; Accepted April 30, 2021; Published June 1, 2021
Abstract. In this paper, we introduce a new relaxed projection onto the level sets of the convex functions. We propose new relaxed projection methods by applying the proposed relaxed projection to solve split feasibility problems and split equality problems. The weak convergence of the relaxed projection methods is established. A preliminary numerical experiment is presented to support the new relaxed projection.
How to Cite this Article:
Q.L. Dong, S.H. Ke, S. He, X. Qin, A new relaxed projection and its applications, Journal of Nonlinear Functional Analysis, Vol. 2021 (2021), Article ID 19, pp. 1-20.