Fixed points of set-valued mappings in Menger probabilistic metric spaces endowed with an amorphous binary relation

被引：0
作者：
Prasad, Gopi [1 ]
Deshwal, Sheetal [1 ]
Srivastav, Rupesh K. [1 ]
机构：
[1] Dr Shivanand Nautiyal Goverment Postgrad Coll, Dept Math, Karanprayag 246444, Uttarakhand, India
来源：
APPLIED GENERAL TOPOLOGY | 2023年 / 24卷 / 02期
关键词：
fixed point; set-valued mapping; Bernstein operator; PARTIALLY ORDERED SETS; THEOREMS;
D O I：
10.4995/agt.2023.18993
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove the existence of fixed point results for set-valued mappings in Menger probabilistic metric spaces equipped with an amorphous binary relation and a Hadzic-type t-norm. For the usability of such findings we present a Kelisky-Rivlin type result for a class of Bernstein type special operators introduced by Deo et. al. [Appl. Math. Comput. 201, (2008), 604-612] on the space C(0, n/n+1]). In this way, these investigations extend, modify and generalize some prominent recent fixed point results of the existing literature.
引用
收藏
页码：307 / 322
页数：16
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