半序度量空间上混合（G，S）-单调算子的耦合重合点定理及其应用
Coupled coincidence point theorems for mixed (G, S)-monotone operators on partially ordered metric spaces and applications
摘要：
本文引入了混合（G，S）-单调映象的概念，证明了这类映象满足包含变距离函数的非线性压缩的耦合重合和耦合公共不动点定理.给出的定理推广、改进和推广了Harjani，López和Sadarangani [J. Harjani，B. López和K. Sadarangani，不动点定理混合单调算子和应用积分方程，非线性分析（2010），doi：10.1016/j.na.2010.10.047]和其他现有的结果在文献中。还考虑了它在周期边值问题中的一些应用。
英文摘要：
In this paper, we introduce the concept of mixed (G, S)-monotone mappings and prove coupled coincidence and coupled common fixed point theorems for such mappings satisfying a nonlinear contraction involving altering distance functions. Presented theorems extend, improve and generalize the very recent results of Harjani, López and Sadarangani [J. Harjani, B. López and K. Sadarangani, Fixed point theorems for mixed monotone operators and applications to integral equations, Nonlinear Analysis (2010), doi:10.1016/j.na.2010.10.047] and other existing results in the literature. Some applications to periodic boundary value problems are also considered.
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