Common Fixed Points of Single-Valued and Multi-Valued Mappings in S-Metric Spaces

A. Pourgholam, M. Sabbaghan, F. Taleghani
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引用次数: 1

Abstract

In this paper, the notion of limit property (-Tayyab kamran, 2004-) and common limit property (-Yicheng Liu & Jun Wu & Zhixiang Li, 2005-) for singlevalued and multi-valued mappings on metric spaces are generalized to S-metric spaces. This idea is used to make some common fixed point theorems for singlevalued and multi-valued mappings by using a generalization of coincidence point in S-metric spaces. We give an example of an S-metric which is not continuous.
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S-度量空间中单值映射和多值映射的公共不动点
本文将度量空间上的单值和多值映射的极限性质(-Tayyab-kamran,2004-)和公共极限性质(-Iicheng Liu&Jun Wu&Zhixiang Li,2005-)的概念推广到S-度量空间。利用S-度量空间中重合点的推广,给出了单值映射和多值映射的一些公共不动点定理。我们给出了一个不连续的S-度量的例子。
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CiteScore
0.70
自引率
33.30%
发文量
20
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