There are a good number of review articles on the topic, e.g.
Contact lenses to slow progression of myopia. Sankaridurg P. Clin Exp Optom. 2017 Sep;100(5):432-437
The Future of Myopia Control Contact Lenses. Gifford P, Gifford KL. Optom Vis Sci. 2016 Apr;93(4):336-43
Studies using concentric ring bifocal and peripheral add multifocal contact lenses to slow myopia progression in school-aged children: a meta-analysis. Li SM, Kang MT, Wu SS, Meng B, Sun YY, Wei SF, Liu L, Peng X, Chen Z, Zhang F, Wang N. Ophthalmic Physiol Opt. 2017 Jan;37(1):51-59
Myopia control in children through refractive therapy gas permeable contact lenses: is it for real? Koffler BH, Sears JJ. Am J Ophthalmol. 2013 Dec;156(6):1076-1081.e1
Innovative Development of Contact Lenses. Kobashi H, Ciolino JB. Cornea. 2018 Nov;37 Suppl 1:S94-S98
The Role of Orthokeratology in Myopia Control: A Review. Lipson MJ, Brooks MM, Koffler BH. Eye Contact Lens. 2018 Jul;44(4):224-230
A Randomized Trial of Soft Multifocal Contact Lenses for Myopia Control: Baseline Data and Methods. Walline JJ, Gaume Giannoni A, Sinnott LT, Chandler MA, Huang J, Mutti DO, Jones-Jordan LA, Berntsen DA; BLINK Study Group. Optom Vis Sci. 2017 Sep;94(9):856-866
Visual performance of myopia control soft contact lenses in non-presbyopic myopes. Sha J, Tilia D, Diec J, Fedtke C, Yeotikar N, Jong M, Thomas V, Bakaraju RC. Clin Optom (Auckl). 2018 Jul 25;10:75-86. doi: 10.2147/OPTO.S167297
Effects of multifocal soft contact lenses used to slow myopia progression on quality of vision in young adults. Kang P, McAlinden C, Wildsoet CF. Acta Ophthalmol. 2017 Feb;95(1):e43-e53
Effect of Orthokeratology on myopia progression: twelve-year results of a retrospective cohort study. Lee YC, Wang JH, Chiu CJ. BMC Ophthalmol. 2017 Dec 8;17(1):243
Myopia Control with a Novel Peripheral Gradient Soft Lens and Orthokeratology: A 2-Year Clinical Trial. Pauné J, Morales H, Armengol J, Quevedo L, Faria-Ribeiro M, González-Méijome JM. Biomed Res Int. 2015;2015:507572
Does peripheral retinal input explain the promising myopia control effects of corneal reshaping therapy (CRT or ortho-K) & multifocal soft contact lenses? Smith EL 3rd, Campbell MC, Irving E. Ophthalmic Physiol Opt. 2013 May;33(3):379-84
Bifocal soft contact lenses as a possible myopia control treatment: a case report involving identical twins. Aller TA, Wildsoet C. Clin Exp Optom. 2008 Jul;91(4):394-9
Peripheral refraction and spherical aberration profiles with single vision, bifocal and multifocal soft contact lenses. Fedtke C, Ehrmann K, Bakaraju RC. J Optom. 2019 Feb 13. pii: S1888-4296(18)30098-0