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

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.

Author Details

Yongjie Piao Email