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A note on tripled coincidence and tripled common fixed point theorems in partially ordered metric spaces

机译:关于部分有序度量空间中三重符合和三重公共不动点定理的注记

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摘要

In this paper we have used a method of reducing tripled coincidence and tripled fixed point results in (ordered) metric spaces to the respective results for mappings with one variable, even obtaining (in some cases) more general theorems. Our results generalize, extend, unify, enrich and complement recently tripled coincidence point theorems established by Berinde and Borcut (2011) [4], Borcut and Berinde (2012) [7] and Borcut (2012) [9]. Also, by using our method several coupled coincidence and coupled common fixed point results in ordered metric spaces can be reduced to the coincidence and common fixed point results with one variable.
机译:在本文中,我们使用了一种方法来将(有序)度量空间中的三重符合和三重不动点结果减少到相应的结果,以使用一个变量进行映射,甚至获得(在某些情况下)更一般的定理。我们的结果对Berinde和Borcut(2011)[4],Borcut和Berinde(2012)[7]和Borcut(2012)[9]建立的最近三重重合点定理进行了推广,扩展,统一,丰富和补充。同样,通过使用我们的方法,可以将有序度量空间中的多个耦合重合点和公共定点耦合点减少为一个变量的重合点和公共定点结果。

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