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Bull. Korean Math. Soc. 2010; 47(3): 455-465

Printed May 1, 2010

https://doi.org/10.4134/BKMS.2010.47.3.455

Copyright © The Korean Mathematical Society.

The existence results of coupled quasi-solutions for a class of operator equations

Yeol Je Cho, Guang He, and Nan-jing Huang

Gyeongsang National University, Neijiang Normal University, and Sichuan University

Abstract

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In this paper, by using the semi-order method, two new existence theorems of coupled quasi-solutions for a class of nonlinear operator equations in Banach spaces are proved under some suitable conditions.

Keywords: cone, partial order, mixed monotone operator, relatively weakly compact set, coupled quasi-solutions

MSC numbers: 47H10, 54H25

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