Some common fixed point theorems for a family of mappings in metrically convex spaces

被引：12

作者：

Imdad, M. ^{[1
]}

Khan, Ladlay ^{[1
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 67卷 / 09期

关键词：

metrically convex metric space; weak commutativity; compatible mappings; pointwise R-weak commutativity; complete metric space;

D O I：

10.1016/j.na.2006.09.037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper some common fixed point theorems for a sequence and a pair of nonself-mappings in complete metrically convex metric spaces are proved which generalize such results due to Khan et at. [M.S. Khan, H.K. Pathak, M.D. Khan, Some fixed point theorems in metrically convex spaces, Georgian Math. J. 7 (3) (2000) 523-530], Assad [N.A. Assad, On a fixed point theorem of Karman in Banach spaces, Tamkang J. Math. 7 (1976) 91-94], Chatterjea [S.K. Chatterjea, Fixed point theorems, C. R. Acad. Bulgare Sci. 25 (1972) 727-730] and several others. Some related results are also discussed. (C) 2006 Elsevier Ltd. All rights reserved.

引用

页码：2717 / 2726

页数：10

共 14 条

[1] FIXED-POINT THEOREMS FOR SET-VALUED MAPPINGS OF CONTRACTIVE TYPE [J].

ASSAD, NA ;

KIRK, WA .

PACIFIC JOURNAL OF MATHEMATICS, 1972, 43 (03) :553-562

[2]

Assad NA., 1976, Tamkang J. Math, V7, P91

[3]

Chatterjea S. K., 1972, C. R. Acad. Bulg. Sci., V25, P727, DOI [10.1501/Commua10000000548https://doi.org/10.1007/BF01304884, DOI 10.1501/COMMUA10000000548HTTPS://DOI.ORG/10.1007/BF01304884]

[4]

Hadzic O., 1986, Univ u Novom Sadu Zb Rad Prirod Mat Fak Ser Mat, V16, P13

[5]

Hadzic O, 1984, MATH JAPON, V9, P127

[6]

HADZIC O, 1986, SADU ZB RAD PRIROD M, V19, P233

[7]

Imdad M., 2003, NONLINEAR ANAL FORUM, V8, P69

[8]

Jungck G, 1998, INDIAN J PURE AP MAT, V29, P227

[9]

Jungck G., 1986, Internat. J. Math. Math. Sci., V9, P771, DOI [DOI 10.1155/S0161171286000935, 10.1155/S0161171286000935]

[10]

Khan MS., 2000, Georg. J. Math, V7, P523, DOI [10.1515/GMJ.2000.523, DOI 10.1515/GMJ.2000.523]

← 1 2 →