Common fixed point theorems for non-self-mappings in metric spaces of hyperbolic type

被引：11

作者：

Ciric, Ljubomir ^{[1
]}

Rakocevic, Vladimir ^{[2
]}

Radenovic, Stojan ^{[1
]}

Rajovic, Miloje ^{[3
]}

Lazovic, Rade ^{[4
]}

机构：

[1] Fac Mech Engn, Belgrade 11000, Serbia

[2] Fac Sci & Math, Nish 18000, Serbia

[3] Fac Mech Engn, Kraljevo 36000, Serbia

[4] Fac Org Sci, Belgrade 11000, Serbia

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2010年 / 233卷 / 11期

关键词：

Coincidence point; Common fixed point; Coincidentally commuting mapping; Metric space of hyperbolic type; Complete metric space; NONSELF-MAPPINGS; CONTRACTIVE TYPE; PAIR;

D O I：

10.1016/j.cam.2009.11.042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the concept of a pair of non-linear contraction type mappings in a metric space of hyperbolic type is introduced and the conditions guaranteeing the existence of a common fixed point for such non-linear contractions are established. Presented results generalize and improve some of the known results. An example is constructed to show that our theorems are genuine generalizations of the main theorems of Assad, Ciric, Khan et al., Rhoades and Imdad and Kumar. One of the possible applications of our results is also presented. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：2966 / 2974

页数：9

共 50 条

[21] Common Fixed Point Theorems for four mappings in d* Metric spaces
Sedghi, S.
Altun, I.
Shobe, N.
THAI JOURNAL OF MATHEMATICS, 2009, 7 (01): : 9 - 20
[22] Common fixed point theorems for non-self mappings of nonlinear contractive maps in convex metric spaces
Eke, Kanayo Stella
Davvaz, Bijan
Oghonyon, Jimevwo Godwin
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2018, 18 (02): : 184 - 191
[23] Some Integral Type Fixed Point Theorems for Non-Self-Mappings Satisfying Generalized (ψ,φ)-Weak Contractive Conditions in Symmetric Spaces
Kutbi, Marwan Amin
Imdad, Mohammad
Chauhan, Sunny
Sintunavarat, Wutiphol
ABSTRACT AND APPLIED ANALYSIS, 2014,
[24] Common Fixed Point Theorems for Contractive Mappings of Integral Type in b-Metric Spaces
Guan, Hongyan
Gou, Jinze
MATHEMATICAL NOTES, 2024, 115 (3-4) : 538 - 554
[25] Common Fixed Point Theorems of Altman Integral Type Mappings in G-Metric Spaces
Gu, Feng
Ye, Hongqing
ABSTRACT AND APPLIED ANALYSIS, 2012,
[26] Fixed point theorems for monotone orbitally nonexpansive type mappings in partially ordered hyperbolic metric spaces
Pant, Rajendra
Shukla, Rahul
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2022, 15 (03): : 401 - 411
[27] Fixed point theorems for monotone orbitally nonexpansive type mappings in partially ordered hyperbolic metric spaces
Rajendra Pant
Rahul Shukla
Bollettino dell'Unione Matematica Italiana, 2022, 15 : 401 - 411
[28] Fixed point results for two pairs of non-self hybrid mappings in metric spaces of hyperbolic type
Eke, Kanayo Stella
Akewe, Hudson
INTERNATIONAL JOURNAL OF ADVANCED AND APPLIED SCIENCES, 2018, 5 (09): : 1 - 5
[29] Common Fixed Point Theorems for Non-compatible Self-mappings in b-Fuzzy Metric Spaces
Kim, Jong Kyu
Sedghi, Shaban
Shobe, Nabi
Sadati, Hassan
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2017, 22 (02) : 336 - 345
[30] Common fixed point theorems for fuzzy mappings in G-metric spaces
Zhu, Li
Zhu, Chuan-Xi
Chen, Chun-Fang
FIXED POINT THEORY AND APPLICATIONS, 2012,

← 1 2 3 4 5 →