New Fixed Point Theorems of Mixed Monotone Operators

On Fixed Point Theorems of Mixed Monotone Operators

Mixed monotone operators were introduced by Guo and Lakshmikantham in 1 in 1987. Thereafter many authors have investigated these kinds of operators in Banach spaces and obtained a lot of interesting and important results. They are used extensively in nonlinear differential and integral equations. In this paper, we obtain some new existence and uniqueness theorems of positive fixed point of mixe...

Fixed Point Theorems of a Class of Mixed Monotone Operators and Applications

Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract In the paper, without any compact or continuous assumptions, we study the uniqueness and existence of fixed points of mixed monotone operators in a partially ordered Banach space. Our conclusions extend and improve previous results. As...

Fixed point theorems for sums of operators

Fixed point theorems for middle point linear operators in L

In this paper we introduce the notion of middle point linear operators. We prove a fixed point result for middle point linear operators in L. We then present some examples and, as an application, we derive a Markov-Kakutani type fixed point result for commuting family of α-nonexpansive and middle point linear operators in L.

Fixed Point Theorems for Middle Point Linear Operators in L1