کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
473275 698785 2011 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Fixed point theorem of generalized quasi-contractive mapping in cone metric space
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Fixed point theorem of generalized quasi-contractive mapping in cone metric space
چکیده انگلیسی

In this paper, we introduce the generalized quasi-contractive mapping ff in a cone metric space (X,d)(X,d). ff is called a generalized quasi-contractive if there is a real λ∈[0,1)λ∈[0,1) such that for all x,y∈Xx,y∈X, d(fx,fy)≤λsd(fx,fy)≤λs for some s∈co{0,d(fx,fy),d(x,y),d(x,fx),d(y,fy),d(x,fy),d(y,fx)}.s∈co{0,d(fx,fy),d(x,y),d(x,fx),d(y,fy),d(x,fy),d(y,fx)}. It is proved that if XX is a complete cone metric space with normal cone then ff has a unique fixed point. A example is given, which shows that our result is a genuine generalization of quasi-contractive mapping.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 62, Issue 4, August 2011, Pages 1627–1633
نویسندگان
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