New Fixed Point Theorems of Mixed Monotone Operators

DOI: 10.4236/am.2014.53037   PDF   HTML   XML   4,630 Downloads   6,196 Views   Citations

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.

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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.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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