Common Fixed Point Theorems and $Q$-Property for Quasi-Contractive Mappings under $c$-Distance on TVS-Valued Cone Metric Spaces Without the Normality
Year: 2016
Author: Yongjie Piao
Communications in Mathematical Research , Vol. 32 (2016), Iss. 3 : pp. 229–240
Abstract
Fixed point and common fixed point results for mappings satisfying quasi-contractive conditions expressed in the terms of $c$-distance on TVS-valued cone metric spaces (without the underlying cone which is not normal) are obtained, and $P$-property and $Q$-property for mappings in the terms of $c$-distance are discussed. Our results generalize and improve many known results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2016.03.05
Communications in Mathematical Research , Vol. 32 (2016), Iss. 3 : pp. 229–240
Published online: 2016-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: TVS-valued cone metric space quasi-contractive condition common fixed point $P$-property $Q$-property.