Existence and uniqueness of fixed point for mixed monotone ternary operators with application-Reference-Cited by-同舟云学术

Existence and uniqueness of fixed point for mixed monotone ternary operators with application

Published:2014-10-31 Issue:1 Volume:2014 Page:
ISSN:1687-1812
Container-title:Fixed Point Theory and Applications
language:en
Short-container-title:Fixed Point Theory Appl

Author:

Bu Changchang,Feng Yuqiang,Li Hui

Abstract

Abstract In this paper, partial order theory is used to study the fixed point of a mixed monotone ternary operator A : P × P × P → P . The existence and uniqueness of a fixed point are obtained without assuming the operators to be compact or continuous. In the end, the application to an integral equation is presented. Our results unify, generalize, and complement various known comparable results from the current literature. MSC:47H05, 47H10.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology

Link

https://link.springer.com/content/pdf/10.1186/1687-1812-2014-223.pdf

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