Fixed point theorems for a class of nonlinear sum-type operators and application in a fractional differential equation

Fixed point theorems for a class of nonlinear sum-type operators and application in a fractional differential equation

Abstract In this paper, we consider the fixed point for a class of nonlinear sum-type operators ‘ A+B+C $A+B+C$’ on an ordered Banach space, where A, B are two mixed monotone operators, C is an increasing operator. Without assuming the existence of upper-lower solutions or compactness or continuity...

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Bibliographic Details
Main Authors: Hui Wang, Lingling Zhang, Xiaoqiang Wang
Format: Article
Language:English
Published: SpringerOpen 2018-09-01
Series:Boundary Value Problems
Subjects:
Sum-type operator
Existence and uniqueness
Positive solution
Fractional differential equation
Fractional boundary condition
Online Access:http://link.springer.com/article/10.1186/s13661-018-1059-y

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http://link.springer.com/article/10.1186/s13661-018-1059-y

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