w-b-Cone Distance and Its Related Results: A Survey

被引：7
作者：
Babaei, Reza [1 ]
Rahimi, Hamidreza [1 ]
De la Sen, Manuel [2 ]
Rad, Ghasem Soleimani [1 ]
机构：
[1] Islamic Azad Univ, Cent Tehran Branch, Fac Sci, Dept Math, Tehran 512, Iran
[2] Univ Basque Country, IIDP, Inst Res & Dev Proc, Campus Leioa,POB 48940, Leioa, Bizkaia, Spain
来源：
SYMMETRY-BASEL | 2020年 / 12卷 / 01期
关键词：
w-b-cone distance; tvs-cone b-metric space; lower b-semicontinuous; Minkowski functional; GENERALIZED C-DISTANCE; FIXED-POINT THEOREMS; METRIC-SPACES; MAPPINGS;
D O I：
10.3390/sym12010171
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this work, we define the concept of a w-b-cone distance in tvs-cone b-metric spaces which differs from generalized c-distance in cone b-metric spaces, and we discuss its properties. Our results are significant, since all of the results in fixed point theory with respect to a generalized c-distance can be introduced in the version of w-b-cone distance. Moreover, using Minkowski functionals in topological vector spaces, we prove the equivalence between some fixed point results with respect to a wt-distance in general b-metric spaces and a w-b-cone distance in tvs-cone b-metric spaces.
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页数：12
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