Fixed point theorems for generalized contractive multi-valued maps
نویسندگان
چکیده
منابع مشابه
Fixed point theorems for generalized contractive type multivalued maps
Without using the concept of Hausdorff metric, we prove some results on the existence of fixed points for generalized contractive multivalued maps with respect to u-distance. Consequently, several known fixed point results are either generalized or improved.
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Banach’s contraction principle plays an important role in several branches of mathematics. Because of its importance for mathematical theory, it has been extended in many direction. Especially, Nadler [23] gave a generalization of Banach’s contraction principle to the case of set-valued maps in metric spaces. The author [13] obtained a generalization of Nadler’s fixed point theorem. They proved...
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* Correspondence: [email protected] Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand Full list of author information is available at the end of the article Abstract The purpose of this paper is to prove some existence theorems for fixed point problem by using a generalization of metric distance, namely u-distance. Consequently, some special cases are...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2010
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2010.04.015