Common fixed points for P-operator pair with applications

被引:18
作者
Pathak, H. K. [3 ]
Hussain, N. [1 ,2 ]
机构
[1] King Abdulaziz Univ, Jeddah 21589, Saudi Arabia
[2] King Abdulaziz Univ, Jeddah 21589, Saudi Arabia
[3] Pt Ravishankar Shukla Univ, Sch Studies Math, Raipur 492010, CG, India
关键词
Common fixed point; Banach operator pair; P-operator pair; Occasionally weakly compatible maps; Generalized I-contraction; Invariant approximation; SUBWEAKLY COMMUTING MAPS; INVARIANT APPROXIMATIONS; COMPATIBLE MAPS; I-CONTRACTIONS; THEOREMS; SELFMAPS; MAPPINGS;
D O I
10.1016/j.amc.2010.08.046
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The existence of common fixed point results for new classes of noncommuting selfmaps satisfying generalized I-contraction or I-nonexpansive type conditions is established. As applications several invariant best approximation results are proved which unify, extend, and complement the well-known results. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码:3137 / 3143
页数:7
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