I am using IBM AMOS to analyze my data. i would like to have the cutoff criteria to establish convergent validity, discriminant validity, and model fitness indices, from Lu and Bentler as well as Hair et al.
To work on SEM, I will recommend you following readings to understand the types of indices you can select for your study and what threshold is more appropriate. Construct validity can be established either your Convergent & Divergent validity or using Multitrait–Multimethod Analyses.
Bentler, P. M., & Bonett, D. G. (1980). Significance tests and goodness of fit in the analysis of covariance structures. Psychological bulletin, 88(3), 588.
Lomax, Richard G, & Schumacker, RE. (2012). A beginner's guide to structural equation modeling: Routledge Academic.
Bentler, P. M. (1990). Comparative fit indexes in structural models. Psychological bulletin, 107(2), 238.
Schermelleh-Engel, Karin, Moosbrugger, Helfried, & Müller, Hans. (2003). Evaluating the fit of structural equation models: Tests of significance and descriptive goodness-of-fit measures. Methods of Psychological Research Online, 8(2), 23-74.
Whittaker, Tiffany A. (2011). A Beginner's Guide to Structural Equation Modeling. Structural Equation Modeling: A Multidisciplinary Journal, 18(4), 694-701.
One of the recommended article that will answer your question is Hooper, D., Coughlan, J. and Mullen, M. R. “Structural Equation Modelling: Guidelines for Determining Model Fit.” The Electronic Journal of Business Research Methods Volume 6 Issue 1 2008, pp. 53 - 60. Please find the attached article.