scholarly journals New existence and uniqueness theorems of positive fixed points for mixed monotone operators with perturbation

2007 ◽  
Vol 328 (2) ◽  
pp. 753-766 ◽  
Author(s):  
Ke Li ◽  
Jin Liang ◽  
Ti-Jun Xiao
Keyword(s):  
Fixed Points ◽  
Existence And Uniqueness ◽  
Monotone Operators ◽  
Uniqueness Theorems ◽  
Existence And Uniqueness Theorems ◽  
Mixed Monotone Operators

scholarly journals Fixed point of sum for concave and convex operators with applications

1988 ◽  
Vol 37 (1) ◽  
pp. 81-87
Author(s):  
Li Bingyou
Keyword(s):  
Integral Equation ◽  
Fixed Point ◽  
Fixed Points ◽  
Existence And Uniqueness ◽  
Nonlinear Integral Equation ◽  
Uniqueness Theorems ◽  
Linear Spaces ◽  
Existence And Uniqueness Theorems ◽  
Ordered Linear Spaces ◽  
Convex Operators

In this paper we study fixed points of sums of α-concave and (−α)-convex operators in γ-complete partially ordered linear spaces. As an application we obtain existence and uniqueness theorems for solutions of a certain type of nonlinear integral equation.

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