Points of Openness of Some Mappings

被引：0

作者：

Hola, Lubica ^{[1
]}

Mirmostafaee, Alireza Kamel ^{[2
]}

机构：

[1] Acad Sci, Inst Math, Stefanikova 49, Bratislava 81473, Slovakia

[2] Ferdowsi Univ Mashhad, Ctr Excellence Anal Algebra Struct, Dept Pure Math, POB 1159, Mahhad 91775, Iran

来源：

FILOMAT | 2021年 / 35卷 / 15期

关键词：

Continuous function; open function; quasicontinuous function; closed function; developable space;

D O I：

10.2298/FIL2115209H

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X and Y be topological spaces and f : X -> Y be a continuous function. We are interested in finding points of X and Y at which f is open. We will show that if X is developable, the set of points of openness off in X is a G(delta) subset of X. If X is developable and f is closed, then the set of points of openness of fin Y is a G(delta) subset of Y. These will extend some results of S. Levi.

引用

页码：5209 / 5214

页数：6

共 50 条

[41] ZARISKI OPENNESS OF PROPER FLAT HOLOMORPHOUS MAPPINGS
KEXEL, W
MANUSCRIPTA MATHEMATICA, 1979, 27 (04) : 359 - 390
[42] Some Proximally Coincidence Points for Non-Self Mappings and Self Mappings in Partially Ordered Metric Spaces
Wangkeeree, Rabian
Sisarat, Nithirat
THAI JOURNAL OF MATHEMATICS, 2015, 13 (03): : 613 - 625
[43] A weak convergence theorem for common fixed points of some generalized nonexpansive mappings and nonspreading mappings in a Hilbert space
Dhompongsa, S.
Inthakon, W.
Takahashi, W.
OPTIMIZATION, 2011, 60 (06) : 769 - 779
[44] Extreme points and support points of conformal mappings
Peretz, Ronen
OPEN MATHEMATICS, 2019, 17 : 23 - 31
[45] SOME SUFFICIENT CONDITIONS FOR FIXED POINTS OF MULTIVALUED NONEXPANSIVE MAPPINGS IN BANACH SPACES
Wang, Xi
Zhang, Chiping
Cui, Yunan
JOURNAL OF MATHEMATICAL INEQUALITIES, 2017, 11 (01): : 113 - 120
[46] SOME FIXED POINTS OF α - ψ - K-CONTRACTIVE MAPPINGS IN PARTIAL METRIC SPACES
Arshad, Muhammad
Alshoraify, Shaif
Shoaib, Abdullah
BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 12 (04): : 32 - 43
[47] Some Results on Fixed and Best Proximity Points of Precyclic Self-Mappings
De la Sen, M.
JOURNAL OF APPLIED MATHEMATICS, 2013,
[48] APPROXIMATE COMMON FIXED-POINTS OF SOME QUASI-CONTRACTION MAPPINGS
DHAGE, BC
SHARMA, S
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1992, 23 (11): : 763 - 771
[49] Common fixed points for some generalized nonexpansive mappings and nonspreading-type mappings in uniformly convex Banach spaces
Inthakon, Warunun
Kaewkhao, Attapol
Niyamosot, Nutchari
FIXED POINT THEORY AND APPLICATIONS, 2012,
[50] Common fixed points for some generalized nonexpansive mappings and nonspreading-type mappings in uniformly convex Banach spaces
Warunun Inthakon
Attapol Kaewkhao
Nutchari Niyamosot
Fixed Point Theory and Applications, 2012

← 1 2 3 4 5 →