COINCIDENCE POINT AND COMMON FIXED POINT THEOREMS IN PRODUCT SPACES: APPLICATIONS TO COUPLED FIXED POINT THEOREMS AND SYSTEM OF INTEGRAL EQUATIONS L=58

摘要

The main aim of this paper is to study and establish some new coincidence point and common fixed point theorems in the product space of complete metric space based on three different types of contractive inequalities. The fixed point theorems in product space will be the special case of coincidence point theorems in product space. Also, the concept of fixed point theorems in product space extends the concept of coupled fixed point theorems. The interesting application is to investigate the existence and uniqueness of solution for system of integral equations.