ABOUT THE BOOK This book deals about investigation of some common fixed point and coupled fixed point theorems in various spaces. New common coupled fixed point theorems for contractive inequalities using an auxiliary function which dominate the ordinary metric function are introduced. Some Presic type fixed point theorems for four maps in Fuzzy metric spaces were studied. C_ - algebra valued fuzzy soft metric spaces also mentioned. Contractive conditions of integral type in dis located quasi b - metric spaces are used to study common fixed point theorems.