Coupled common fixed point results involving (φ,ψ)-contractions in ordered generalized metric spaces with application to integral equations

被引：2

作者：

Jain, Manish ^{[1
]}

Tas, Kenan ^{[2
]}

Gupta, Neetu ^{[3
]}

机构：

[1] Ahir Coll, Dept Math, Rewari 123401, India

[2] Cankaya Univ, Dept Math & Comp Sci, Ankara, Turkey

[3] YMCAUST, HAS Dept, Faridbad, India

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年

关键词：

partially ordered set; mixed g-monotone property; coupled coincidence point; coupled common fixed point; NONLINEAR CONTRACTIONS; THEOREMS; MAPPINGS; SETS;

D O I：

10.1186/1029-242X-2013-372

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish some coupled coincidence and coupled common fixed point theorems for the mixed g-monotone mappings satisfying -contractive conditions in the setting of ordered generalized metric spaces. Presented theorems extend and generalize the very recent results of Choudhury and Maity (Math. Comput. Model. 54(1-2):73-79, 2011). To illustrate our results, an example and an application to integral equations have also been given. MSC: 54H10, 54H25.

引用

页数：22

共 50 条

[1] Coupled common fixed point results involving (ϕ,ψ)-contractions in ordered generalized metric spaces with application to integral equations
Manish Jain
Kenan Tas
Neetu Gupta
[J]. Journal of Inequalities and Applications, 2013
[2] Fixed point results for contractions involving generalized altering distances in ordered metric spaces
Hemant Kumar Nashine
Bessem Samet
Jong Kyu Kim
[J]. Fixed Point Theory and Applications, 2011
[3] Fixed point results for contractions involving generalized altering distances in ordered metric spaces
Nashine, Hemant Kumar
Samet, Bessem
Kim, Jong Kyu
[J]. FIXED POINT THEORY AND APPLICATIONS, 2011,
[4] Common fixed point and coincidence point of generalized contractions in ordered metric spaces
Ismat Beg
Asma Rashid Butt
[J]. Fixed Point Theory and Applications, 2012
[5] Common fixed point and coincidence point of generalized contractions in ordered metric spaces
Beg, Ismat
Butt, Asma Rashid
[J]. FIXED POINT THEORY AND APPLICATIONS, 2012,
[6] COMMON COUPLED FIXED POINT THEOREMS FOR GENERALIZED NONLINEAR CONTRACTIONS ON METRIC SPACES INVOLVING A GRAPH
Yolacan, Esra
Debnath, Pradip
Akturk, Mehmet Ali
[J]. SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2018, 36 (02): : 419 - 432
[7] Fixed Point Results for Hybrid Contractions in Menger Metric Spaces With Application to Integral Equations
Samadi, Ayub
Hussain, Nawab
[J]. FILOMAT, 2021, 35 (07) : 2151 - 2164
[8] Generalized coupled common fixed point results in partially ordered A-metric spaces
Mujahid Abbas
Bashir Ali
Yusuf I Suleiman
[J]. Fixed Point Theory and Applications, 2015
[9] Generalized coupled common fixed point results in partially ordered A-metric spaces
Abbas, Mujahid
Ali, Bashir
Suleiman, Yusuf I.
[J]. FIXED POINT THEORY AND APPLICATIONS, 2015, : 1 - 24
[10] Fixed Point Theorems for Monotone Generalized Contractions in Partially Ordered Metric Spaces and Applications to Integral Equations
Harjani, J.
Sadarangani, K.
[J]. JOURNAL OF CONVEX ANALYSIS, 2012, 19 (03) : 853 - 864

← 1 2 3 4 5 →