This monograph is aimed at presenting "Next Generation Newton-Type Methods, " which outperform most of the iterative methods and offer great research potential for new advanced research on iterative computational methods. This monograph provides readers with a unique presentation on the subject that can be used for interdisciplinary research for the world scientific community at large. The methods presented therein are of great importance and significance since these can be extended, generalized and applied to solving equations defined not only on the real line but on abstract spaces as well. This monograph is a must-read for undergraduate students, graduate students, professors, researchers, and research scientists at all universities and colleges.