The Investigation of Results of Fixed Point in Abstract Spaces

In first chapter, of this book we have presented definition and examples of fixed point and fixed point theorems with applications after this In second chapter, we have investigated fixed point theorems for expensive type mappings in Cone Metric Space. In chapter 3 , we have introduced the notion of Pseudo Cone Metric Space with examples and proved fixed point theorems for general principles in Cone Banach Space. In chapter 4 , 5 and 6 we have proved common fixed point theorems for four self maps and rational inequalities. In chapter 7, we have investigated a fixed point theorem for rational inequality using Mann iteration scheme. In chapter 8, we have presented some fixed point theorems in Banach space. In chapter 9, Random fixed point theorems for expensive and contractive type multi-valued operators in polish space are proved. In last chapter, Some fixed point theorems for rational inequalities in Dislocated Metric Space are investigated.