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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2015.1
- 수록면
- 773 - 777 (5page)
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The study of fixed points of mappings satisfying certain contractive conditions has been very active area of research. Recently Long-Guang and Xian [9] generalised the concept of a metric space, by introducing cone metric spaces, and obtained some fixed point theorem for mappings satisfying certain contractive conditions. One can consider a generalisation of a cone metric space by replacing the triangle inequality by a more general inequality. As such, every cone metric is a generalised cone metric space but the converse is not true. However the interesting point to note that two very important fixed point theorems, namely Banach's fixed point theorem and Ciric's fixed point theorem have already establised in such a space. In this paper we continue in this direction and prove a fixed point theorem of Boyed and Wang [2],[5] under fairly general condition a generalised cone metric spaces.
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참고문헌 (13)
참고문헌 신청
A. Branciari / 2000 / A xed point theorem of Banach-Caccioppoli type on a class of gener-alised metric spaces / Publ. Math. Debrecen 57 : 31 ~ 37
B. K. Lahiri. / 2002 / Fixed point of a Ljubomir Ciri c's quasi-contraction mapping in a generalized metric space / Publ. Math. Debrecen 61 : 589 ~ 594
D. Ili c. / 2008 / Common xed points for maps on cone metric space / J. Math. Anal. Appl 341 : 876 ~ 882
D. W. Boyd. / 1996 / On nonlinear contraction / Proc. Amer. Math. Soc 20 : 458 ~ 464
E. Rakotch / 1962 / A note on contractive mappings / Proc. Amer. Math. Soc 13 : 459 ~ 465
B. K. Lahiri. / 2002 / Fixed point of a Ljubomir Ciri c's quasi-contraction mapping in a generalized metric space / Publ. Math. Debrecen 61 : 589 ~ 594
D. Ili c. / 2008 / Common xed points for maps on cone metric space / J. Math. Anal. Appl 341 : 876 ~ 882
D. W. Boyd. / 1996 / On nonlinear contraction / Proc. Amer. Math. Soc 20 : 458 ~ 464
E. Rakotch / 1962 / A note on contractive mappings / Proc. Amer. Math. Soc 13 : 459 ~ 465
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