Results on Coincidence and Common Fixed Points for (ψ, φ)g-Generalized Weakly Contractive Mappings in Ordered Metric Spaces

被引：5

作者：

Gubran, Rqeeb ^{[1
]}

Imdad, Mohammad ^{[1
]}

机构：

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

来源：

MATHEMATICS | 2016年 / 4卷 / 04期

关键词：

fixed point; partially ordered metric space; weakly contractive; (psi; phi)(g)-generalized weekly contractive; GENERALIZED CONTRACTIONS; THEOREMS; SETS;

D O I：

10.3390/math4040068

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Inspired by a metrical-fixed point theorem from Choudhury et al. (Nonlinear Anal. 2011, 74, 2116-2126), we prove some order-theoretic results which generalize several core results of the existing literature, especially the two main results of Harjani and Sadarangani (Nonlinear Anal. 2009, 71, 3403-3410 and 2010, 72, 1188-1197). We demonstrate the realized improvement obtained in our results by using a suitable example. As an application, we also prove a result for mappings satisfying integral type (psi, phi)(g)-generalized weakly contractive conditions.

引用

页数：13

共 33 条

[1] COMMON FIXED POINT THEOREM FOR FOUR MAPPINGS SATISFYING GENERALIZED WEAK CONTRACTIVE CONDITION [J].

Abbas, Mujahid ;

Doric, Dragan .

FILOMAT, 2010, 24 (02) :1-10

[2] Generalized contractions in partially ordered metric spaces [J].

Agarwal, Ravi P. ;

El-Gebeily, M. A. ;

O'Regan, Donal .

APPLICABLE ANALYSIS, 2008, 87 (01) :109-116

[3] Coupled coincidence point results for (φ, ψ)-contractive mappings in partially ordered metric spaces [J].

Ahmad, Jamshaid ;

Arshad, Muhammad ;

Vetro, Pasquale .

GEORGIAN MATHEMATICAL JOURNAL, 2014, 21 (02) :113-124

[4] MONOTONE GENERALIZED CONTRACTIONS IN ORDERED METRIC SPACES [J].

Alam, Aftab ;

Imdad, Mohammad .

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2016, 53 (01) :61-81

[5] Enriching some recent coincidence theorems for nonlinear contractions in ordered metric spaces [J].

Alam, Aftab ;

Khan, Qamrul Haq ;

Imdad, Mohammad .

FIXED POINT THEORY AND APPLICATIONS, 2015,

[6] Some coincidence theorems for generalized nonlinear contractions in ordered metric spaces with applications [J].

Alam, Aftab ;

Khan, Abdur Rauf ;

Imdad, Mohammad .

FIXED POINT THEORY AND APPLICATIONS, 2014,

[7]

Alber Ya. I., 1997, Adv. Appl., Birkhauser Verlag,, V98, P7

[8] (φ, ψ)-weak contractions in intuitionistic fuzzy metric spaces [J].

Beg, Ismat ;

Vetro, Calogero ;

Gopal, Dhananjay ;

Imdad, Mohammad .

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 26 (05) :2497-2504

[9] Coincidence point and invariant approximation for mappings satisfying generalized weak contractive condition [J].

Beg, Ismat ;

Abbas, Mujahid .

FIXED POINT THEORY AND APPLICATIONS, 2006, 2006 (1)

[10] Fixed point theorems for generalized weakly contractive mappings [J].

Choudhury, Binayak S. ;

Konar, P. ;

Rhoades, B. E. ;

Metiya, N. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (06) :2116-2126

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