AM  Vol.5 No.3 , February 2014
New Fixed Point Theorems of Mixed Monotone Operators
Author(s) Xinsheng Du
ABSTRACT

Mixed monotone operator is an important nonlinear operator. It exists extensively in the research of nonlinear differential and integral equations. Generally, the research of mixed monotone operators in partially ordered Banach spaces requires compactness, continuity or concavity-convexity of the operators. In this paper, without any compact and continuous assumption, we obtain some new existence and uniqueness theorems of positive fixed point of e-concave-convex mixed monotone operators in Banach spaces partially ordered by a cone, which extends the existing corresponding results.


Cite this paper
X. Du, "New Fixed Point Theorems of Mixed Monotone Operators," Applied Mathematics, Vol. 5 No. 3, 2014, pp. 352-357. doi: 10.4236/am.2014.53037.
References
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