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Volume 32, Issue 3
Common Fixed Point Theorems and $Q$-Property for Quasi-Contractive Mappings under $c$-Distance on TVS-Valued Cone Metric Spaces Without the Normality

Yongjie Piao

Commun. Math. Res., 32 (2016), pp. 229-240.

Published online: 2021-05

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  • 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.

  • Keywords

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

  • AMS Subject Headings

47H05, 47H10, 54E40, 54H25

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-32-229, author = {Yongjie and Piao and and 18537 and and Yongjie Piao}, title = {Common Fixed Point Theorems and $Q$-Property for Quasi-Contractive Mappings under $c$-Distance on TVS-Valued Cone Metric Spaces Without the Normality}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {32}, number = {3}, pages = {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.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2016.03.05}, url = {http://global-sci.org/intro/article_detail/cmr/18895.html} }
TY - JOUR T1 - Common Fixed Point Theorems and $Q$-Property for Quasi-Contractive Mappings under $c$-Distance on TVS-Valued Cone Metric Spaces Without the Normality AU - Piao , Yongjie JO - Communications in Mathematical Research VL - 3 SP - 229 EP - 240 PY - 2021 DA - 2021/05 SN - 32 DO - http://doi.org/10.13447/j.1674-5647.2016.03.05 UR - https://global-sci.org/intro/article_detail/cmr/18895.html KW - TVS-valued cone metric space, quasi-contractive condition, common fixed point, $P$-property, $Q$-property. AB -

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.

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