距离空间上映射的多重不动点的一般概念
A general concept of multiple fixed point for mappings defined on spaces with a distance
摘要:
本文的主要目的是在有距离空间中引入映射的多维不动点的一般概念,并建立各种多维不动点的结果。这个新概念简化了[A]中的类似概念。Roldan,J. Martinez-Moreno,C. Roldan,{半序完全度量空间中的\it多维不动点定理},J. Math. Anal. 396(2012),536- 545]。所得到的多重不动点定理推广、推广和统一了文献中的许多相关结果.
英文摘要:
Our main aim in this paper is to introduce a general concept of multidimensional fixed point of a mapping in spaces with distance and establish various multidimensional fixed point results. This new concept simplifies the similar notion from [A. Roldan, J. Martinez-Moreno, C. Roldan, {\it Multidimensional fixed point theorems in partially ordered complete metric spaces}, J. Math. Anal. Appl. 396 (2012), 536--545]. The obtained multiple fixed point theorems extend, generalise and unify many related results in literature.
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