Some Fixed Point Problems Of Several Classes Of Nonlinear Operators

In this paper, we study some fixed point problems of several classes of nonlinear operators.In chapter 1, we study quasi-fixed point problems of T-mixed monotone operators and obtain the corresponding quasi-fixed point theorems. In chapter 2, we discuss random fixed point problems of random monotone increasing operators and obtain some random fixed point theorems of random operators under the continuous or discontinuous conditions. In chapter 3, we investigate the existence problems of random fixed points of nonexpansive random setniclosed 1-set contrative mappings about a fixed point and obtain the corresponding random fixed point theorems.