强小面体锥和标量加权锥度量空间的结果及其应用

IF 0.4 Q4 MATHEMATICS
A. Tomar, M. Joshi
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引用次数: 0

摘要

摘要在强自形锥上的轨道完备锥度量空间和假定锥为强自形的标量加权锥上,建立了序列和非唯一不动点的收敛性。适当的实例和应用验证了所建立的理论。此外,我们还对锥度量空间中压缩条件的存在性问题提供了另一个答案,使得不动点位于映射的不连续点。此外,我们对一个自然问题提供了否定的答案,即所获得的结果中的收缩条件是否可以被其度量版本所取代。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Results in Strongly Minihedral Cone and Scalar Weighted Cone Metric Spaces and Applications
Abstract The convergence of sequences and non-unique fixed points are established in ℳ-orbitally complete cone metric spaces over the strongly minihedral cone, and scalar weighted cone assuming the cone to be strongly minihedral. Appropriate examples and applications validate the established theory. Further, we provide one more answer to the question of the existence of the contractive condition in Cone metric spaces so that the fixed point is at the point of discontinuity of a map. Also, we provide a negative answer to a natural question of whether the contractive conditions in the obtained results can be replaced by its metric versions.
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来源期刊
Annales Mathematicae Silesianae
Annales Mathematicae Silesianae Mathematics-Mathematics (all)
CiteScore
0.60
自引率
25.00%
发文量
17
审稿时长
27 weeks
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