کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4632787 | 1340654 | 2010 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On Ćirić maps with a generalized contractive iterate at a point and Fisher’s quasi-contractions in cone metric spaces
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On Ćirić maps with a generalized contractive iterate at a point and Fisher’s quasi-contractions in cone metric spaces On Ćirić maps with a generalized contractive iterate at a point and Fisher’s quasi-contractions in cone metric spaces](/preview/png/4632787.png)
چکیده انگلیسی
In this paper, we generalize and unify some results of Sehgal and Guseman, and Ćirić’s theorem for mappings with a generalized contractive iterate at a point to cone metric spaces, in which the cone does not need to be normal. As corollaries, we obtain recent results of Huang and Zhang, and Raja and Vaezpour. Furthermore, we introduce the definition of Fisher quasi-contractions on cone metric spaces and study their properties. Among other things, using new method of proof, we solve the open problem for the interval of contractive constant λλ of (Ćirić) quasi-contraction in non-normal cone metric spaces, and as sn immediate corollary, we recover the recent result of Rezapour and Hamlbarani.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 216, Issue 8, 15 June 2010, Pages 2240–2247
Journal: Applied Mathematics and Computation - Volume 216, Issue 8, 15 June 2010, Pages 2240–2247
نویسندگان
Ljiljana Gajić, Dejan Ilić, Vladimir Rakočević,