Details

Autor(en) / Beteiligte

• Anh, Lam Quoc
• Duy, Tran Quoc
• Muu, Le Dung
• Tri, Truong Van

Titel

The Tikhonov regularization for vector equilibrium problems

Ist Teil von

• Computational optimization and applications, 2021-04, Vol.78 (3), p.769-792

Ort / Verlag

New York: Springer US

Erscheinungsjahr

2021

Quelle

Business Source Ultimate

Beschreibungen/Notizen

• We consider vector equilibrium problems in real Banach spaces and study their regularized problems. Based on cone continuity and generalized convexity properties of vector-valued mappings, we propose general conditions that guarantee existence of solutions to such problems in cases of monotonicity and nonmonotonicity. First, our study indicates that every Tikhonov trajectory converges to a solution to the original problem. Then, we establish the equivalence between the problem solvability and the boundedness of any Tikhonov trajectory. Finally, the convergence of the Tikhonov trajectory to the least-norm solution of the original problem is discussed.