Common Fixed Point Theorems and $Q$-Property for Quasi-Contractive Mappings under $c$-Distance on TVS-Valued Cone Metric Spaces Without the Normality

Authors

  • Yongjie Piao

DOI:

https://doi.org/10.13447/j.1674-5647.2016.03.05

Keywords:

TVS-valued cone metric space, quasi-contractive condition, common fixed point, $P$-property, $Q$-property.

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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Published

2021-05-14

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Issue

Vol. 32 No. 3 (2016)

Section

Articles

How to Cite

Common Fixed Point Theorems and $Q$-Property for Quasi-Contractive Mappings under $c$-Distance on TVS-Valued Cone Metric Spaces Without the Normality. (2021). Communications in Mathematical Research, 32(3), 229-240. https://doi.org/10.13447/j.1674-5647.2016.03.05