Abstract
In this work, we discuss the existence of fixed points of monotone nonexpansive mappings defined on partially ordered Banach spaces. This work is a continuity of the previous works of Ran and Reurings, Nieto et al., and Jachimsky done for contraction mappings. As an application, we discuss the existence of solutions to an integral equations.
Original language | British English |
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Article number | 110 |
Journal | Fixed Point Theory and Applications |
Volume | 2015 |
Issue number | 1 |
DOIs | |
State | Published - 23 Dec 2015 |
Keywords
- fixed point
- integral equation
- Krasnoselskii iteration
- Lebesgue measure
- monotone mapping
- nonexpansive mapping