On a probabilistic version of Meir-Keeler type fixed point theorem for a family of discontinuous operators

被引：0
|
作者：
Bisht, Ravindra K. [1 ]
Rakocevic, Vladimir [2 ]
机构：
[1] Natl Def Acad, Dept Math, Pune 411023, Maharashtra, India
[2] Univ Nis, Fac Sci & Math, Visegradska 33, Nish 18000, Serbia
来源：
APPLIED GENERAL TOPOLOGY | 2021年 / 22卷 / 02期
关键词：
Menger PM-spaces; fixed point; almost orbital continuity; non-expansive mapping; CONTRACTIONS; COMPLETENESS;
D O I：
10.4995/agt.2021.15561
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A Meir-Keeler type fixed point theorem for a family of mappings is proved in Menger probabilistic metric space (Menger PM-space). We establish that completeness of the space is equivalent to fixed point property for a larger class of mappings that includes continuous as well as discontinuous mappings. In addition to it, a probabilistic fixed point theorem satisfying (epsilon - delta) type non-expansive mappings is established.
引用
收藏
页码：435 / 446
页数：12
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