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math.OC2025
Nonlinear forward-backward-half forward splitting with momentum for monotone inclusions
Liqian Qin, Yuchao Tang, Jigen Peng
In this work, we propose a new splitting algorithm for solving structured monotone inclusion problems composed of a maximally monotone operator, a maximally monotone and Lipschitz…
math.FA2025
On -monotone operators and their resolvent in Banach spaces
Changchi Huang, Jigen Peng, Yuchao Tang
This paper introduces a new definition of -monotone operators in real 2-uniformly convex and smooth Banach spaces. Based on this new definition, we establish several novel struc…
math.FA2025
Hölder property of the resolvent of a monotone operator in Banach spaces
Changchi Huang, Jigen Peng, Yuchao Tang
Let be a Banach space, and let denote the normalized duality mapping. In this paper, we establish an upper bound for in -uniformly smooth Bana…