Chengbo Zhai, Fang Wang, Fixed point theorems for monotone operators in ordered Banach spaces with h-ordering differences, Vol. 2017 (2017), Article ID 18, pp. 1-10

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DOI: 10.23952/cot.2017.18

 

Received October 31, 2016; Accepted March 1, 2017; Published March 20, 2017

 

Abstract. In this paper, we use the partial order theory, h-ordering differences and altering distance functions to study  monotone operators. The existence and uniqueness of fixed points without assuming the operator to be compact and continuous are obtained.

 

How to Cite this Article:

Chengbo Zhai, Fang Wang, Fixed point theorems for monotone operators in ordered Banach spaces with h-ordering differences, Communications in Optimization Theory, Vol. 2017 (2017), Article ID 18, pp. 1-10.