Well-Posedness of the Fixed Point Problem of Multifunctions of Metric Spaces

被引：0

作者：

Sundus, Nozara ^{[1
,2
]}

Ali, Basit ^{[3
]}

Aphane, Maggie ^{[4
]}

机构：

[1] Auburn Univ, Dept Math & Stat, Auburn, AL 36849 USA

[2] Govt Coll Univ, Abdus Salam Sch Math Sci, Lahore 54600, Pakistan

[3] Univ Management & Technol, Sch Sci, Dept Math, C 2 Johar Town, Lahore 54770, Pakistan

[4] Sefako Makgatho Hlth Sci Univ, Dept Math & Appl Math, Molotlegi St,POB 107, ZA-0204 Pretoria, South Africa

来源：

MATHEMATICS | 2024年 / 12卷 / 11期

关键词：

sequentially equivalent metrics; well-posedness; multifunction; fixed point problem (FPP); GENERALIZED SENSE; CONTRACTIONS; THEOREMS;

D O I：

10.3390/math12111628

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a class of metrics which are equivalent to the Hausdorff metric in some sense to establish the well-posedness of fixed point problems associated with multifunctions of metric spaces, satisfying various generalized contraction conditions. Examples are provided to justify the applicability of new results.

引用

页数：19

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