Argyros, I.K.Cho, Y.J.George, S.Xiao, Y.2026-02-052019Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, 2019, 113, 3, pp. 2813-282615787303https://doi.org/10.1007/s13398-019-00657-whttps://idr.nitk.ac.in/handle/123456789/24472We expand the applicability of an a posteriori parameter choice strategy for Tikhonov regularization of the nonlinear ill-posed problem presented in Jin and Hou (Numer Math 83:139–159, 1999) by weakening the conditions needed in Jin and Hou [13]. Using a center-type Lipschitz condition instead of a Lipschitz-type condition used in Jin and Hou [13], Scherzer et al. (SIAM J Numer Anal 30:1796–1838, 1993), we obtain a tighter convergence analysis. Numerical examples are presented to show that our results apply but earlier ones do not apply to solve equations. © 2019, The Royal Academy of Sciences, Madrid.A-centerConditionConvergence analysisDiscrepancy principleLipschitzLipschitz conditionsNonlinear ill-posed problemsParameter choicePosterioriTikhonov regularizationParameterization