Non-self mappings satisfying non-linear contractive condition with applications

被引：16

作者：

Ciric, Ljubomir ^{[1
]}

机构：

[1] Fac Mech Engn, Belgrade 11000, Serbia

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 7-8期

关键词：

Metric space of hyperbolic type; Coincidence point; Common fixed point; Coincidentally commuting mapping; Complete metric space; FIXED-POINT THEOREMS; CONVEX METRIC-SPACES; NONSELF-MAPPINGS;

D O I：

10.1016/j.na.2009.01.174

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The concept of non-self mappings satisfying a new non-linear contractive type condition is introduced, and coincidence and common fixed point theorems in metric spaces of hyperbolic type are proved. Presented theorems generalize and improve recent theorems of lmdad and Kumar [M. lmdad, S. Kumar, Rhoades-type fixed-point theorems fora pair of nonself mappings, Comput. Math. Appl. 46 (2003), 919-927] and several others theorems. One example is constructed to show that our theorems are genuine generalizations of the above mentioned results of lmdad and Kumar and several others. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：2927 / 2935

页数：9

共 24 条

[21]

Rhoades B.E., 1978, MATH JAPON, V23, P457

[22]

Takahashi W., 1970, I. Kodai Math. Sem. Pep, V22, P142, DOI DOI 10.2996/KMJ/1138846111

[23] FIXED-POINTS OF NONSELF-MAPPINGS AND APPLICATIONS [J].