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Set-valued fixed-point theorems for generalized contractive mappings without the Hausdorff metric

✍ Scribed by Yeol Je Cho; Soawapak Hirunworakit; Narin Petrot

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
245 KB
Volume
24
Category
Article
ISSN
0893-9659

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✦ Synopsis

In this paper, the concept of a set-valued contractive mapping is considered by using the idea of a generalized distance, such as the Ο„ -distance, in metric spaces without using the concept of the Hausdorff metric. Furthermore, under some mild conditions, we provide the existence theorems for fixed-point problems of the considered mapping. Hence, our results can be viewed as a generalization and improvement of many recent results.

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