Some Common Fixed Point Theorems in Menger PM Spaces

被引：11
|
作者：
Imdad, M. [2 ]
Tanveer, M. [1 ]
Hasan, M. [3 ]
机构：
[1] Jawaharlal Nehru Univ, Sch Comp & Syst Sci, New Delhi 110067, India
[2] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
[3] Aligarh Muslim Univ, Dept Appl Math, Aligarh 202002, Uttar Pradesh, India
来源：
FIXED POINT THEORY AND APPLICATIONS | 2010年
关键词：
WEAKLY COMPATIBLE MAPPINGS; SYMMETRIC-SPACES; CONTRACTIVE CONDITIONS; COINCIDENCE; MAPS;
D O I：
10.1155/2010/819269
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Employing the common property (E.A), we prove some common fixed point theorems for weakly compatible mappings via an implicit relation in Menger PM spaces. Some results on similar lines satisfying quasicontraction condition as well as psi-type contraction condition are also proved in Menger PM spaces. Our results substantially improve the corresponding theorems contained in (Branciari, (2002); Rhoades, (2003); Vijayaraju et al., (2005)) and also some others in Menger as well as metric spaces. Some related results are also derived besides furnishing illustrative examples.
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收藏
页数：14
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