COMMON FIXED POINTS OF GENERALIZED ALMOST NONEXPANSIVE MAPPINGS

被引：20

作者：

Abbas, Mujahid ^{[1
]}

Ilic, Dejan ^{[2
]}

机构：

[1] Lahore Univ Management Sci, Dept Math, Lahore 54792, Pakistan

[2] Univ Nis, Dept Math, Fac Sci & Math, Nish 18000, Serbia

来源：

FILOMAT | 2010年 / 24卷 / 03期

关键词：

Coincidence point; point of coincidence; common fixed point; almost contraction; generalized almost nonexpansive mapping; COMPATIBLE MAPS; THEOREMS;

D O I：

10.2298/FIL1003011A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The concept of a generalized almost nonexpansive mappings is introduced and the existence of common fixed points for this new class of mappings is proved. As an application, an invariant approximation result is obtained.

引用

页码：11 / 18

页数：8

共 14 条

[1] Noncommuting selfmaps and invariant approximations
Al-Thagafi, MA
Shahzad, N
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 64 (12) : 2778 - 2786
[2] Common fixed points and best approximation
AlThagafi, MA
[J]. JOURNAL OF APPROXIMATION THEORY, 1996, 85 (03) : 318 - 323
[3] [Anonymous], MATH JPN
[4] Babu GVR, 2008, CARPATHIAN J MATH, V24, P8
[5] Coincidence point and invariant approximation for mappings satisfying generalized weak contractive condition
Beg, Ismat
Abbas, Mujahid
[J]. FIXED POINT THEORY AND APPLICATIONS, 2006, 2006 (1)
[6] Berinde V., 2004, Nonlinear Anal. Forum., V9, P43
[7] Berinde V, 2008, CARPATHIAN J MATH, V24, P10
[8] Compatible maps and invariant approximations
Jungck, G.
Hussain, N.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 325 (02) : 1003 - 1012
[9] COMMON FIXED-POINTS FOR COMMUTING AND COMPATIBLE MAPS ON COMPACTA
JUNGCK, G
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 103 (03) : 977 - 983
[10] Jungck G., 1996, Far East J. Math. Sci, V4, P199

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