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.