Iterated Function System of Generalized Contractions in Partial Metric Spaces

被引:3
|
作者
Nazir, Talat [1 ]
Khumalo, Melusi [1 ]
Makhoshi, Vuledzani [1 ]
机构
[1] Univ South Africa, Dept Math Sci, ZA-0003 Florida, South Africa
关键词
attractor; fixed point; generalized contraction; partial metric space; iterated function system; FIXED-POINT THEOREMS; MULTIVALUED F-CONTRACTIONS;
D O I
10.2298/FIL2115161N
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we aim to obtain the attractors with the assistance of a finite family of generalized contractive mappings, which belong to a special class of mappings defined on a partial metric space. Consequently, a variety of results for iterated function systems satisfying a different set of generalized contractive conditions are acquired. We present some examples in support of the results proved herein. Our results generalize, unify and extend a variety of results which exist in current literature.
引用
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页码:5161 / 5180
页数:20
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