تفاصيل الوثيقة
|
نوع الوثيقة |
: |
مقال في مجلة دورية |
|
عنوان الوثيقة |
: |
Fixed point results for set-valued contractions by altering distances in complete metric spaces Fixed point results for set-valued contractions by altering distances in complete metric spaces |
|
الموضوع |
: |
رياضيات |
|
لغة الوثيقة |
: |
الانجليزية |
|
المستخلص |
: |
Nadler's contraction principle has led to fixed point theory of set-valued contraction in non-linear analysis. Inspired by the results of Nadler, the fixed point theory of set-valued contraction has been further developed in different directions by many authors, in particular, by Reich, Mizoguchi-Takahashi, Feng-Liu and many others. In the present paper, the concept of generalized contractions for set-valued maps in metric spaces is introduced and the existence of fixed point for such a contraction are guaranteed by certain conditions. Our first result extends and generalizes the Nadler, Feng-Liu and Klim-Wardowski theorems and the second result is different from the Reich and Mizoguchi-Takahashi results. As a consequence, we derive some results related to fixed point of set-valued maps satisfying certain conditions of integral type. |
|
ردمد |
: |
0362-546X |
|
اسم الدورية |
: |
(2009) Nonlinear Analysis, Theory, Methods and Applications |
|
المجلد |
: |
70 |
|
العدد |
: |
7 |
|
سنة النشر |
: |
2009 هـ
2009 م |
|
عدد الصفحات |
: |
7 |
|
نوع المقالة |
: |
مقالة علمية |
|
تاريخ الاضافة على الموقع |
: |
Tuesday, October 13, 2009 |
|
الباحثون
| نصير شهزاد محمد | Shahzad, N. | باحث | دكتوراه | nshahzad@kau.edu.sa |
| Pathak, H.K | Pathak, H.K | باحث | دكتوراه | |
|
الرجوع إلى صفحة الأبحاث
|