کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1708792 1012833 2011 4 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On set-valued contractions of Nadler type in cone metric spaces
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
On set-valued contractions of Nadler type in cone metric spaces
چکیده انگلیسی

The fixed point theory for cone metric spaces, which was introduced in 2007 by Huang and Zhang in the paper [L.-G. Huang, X. Zhang, Cone metric spaces and fixed point theorems of contractive maps, J. Math. Anal. Appl. 332 (2007) 1467–1475] has recently become a subject of interest for many authors. Cone metric spaces are generalizations of metric spaces where the metric is replaced by the mapping d:M×M→Ed:M×M→E, where M≠∅M≠∅, and EE is a real Banach space. In the present paper for a cone metric space (M,d)(M,d) and for the family AA of subsets of MM we establish a new cone metric H:A×A→EH:A×A→E. Next, we introduce the concept of set-valued contraction of Nadler type and prove a fixed point theorem. Examples are provided.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 24, Issue 3, March 2011, Pages 275–278
نویسندگان
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