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| 偏序度量空间中耦合不动点定理的推广 | |
| 引用本文： | 马瑾,杨和.偏序度量空间中耦合不动点定理的推广[J].四川大学学报(自然科学版),2017,54(6):1146-1152. |
| 作者姓名： | 马瑾 杨和 |
| 作者单位： | 西北师范大学,西北师范大学 |
| 摘 要： | 本文在偏序度量空间中建立了新的耦合重合点定理和耦合共同不动点定理, 并用所证得的耦合共同不动点定理证明了分数阶 Volterra 积分方程解的存在唯一性. |
| 关 键 词： | 混合单调算子 偏序度量空间 耦合重合点 耦合共同不动点 积分方程 |
| 收稿时间： | 2017/3/31 0:00:00 |
| 修稿时间： | 2017/6/6 0:00:00 |
Promotion of Coupled Fixed Point Theorem in Partially Ordered Metric Spaces |
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| MA Jin and YANG He.Promotion of Coupled Fixed Point Theorem in Partially Ordered Metric Spaces[J].Journal of Sichuan University (Natural Science Edition),2017,54(6):1146-1152. | |
| Authors: | MA Jin and YANG He |
| Institution: | Northwest Normal University |
| Abstract: | In this paper, we first establish new coupled coincidence and coupled common fixed point theorems in partially ordered metric spaces, and then apply the new coupled common fixed point theorem to prove the existence and uniqueness of solutions to fractional Volterra integral equations. |
| Keywords: | Mixed monotone operator Partially ordered metric spaces Coupled coincidence point Coupled common fixed point integral equations |
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