Coupled fixed point theorems for (α, φ) g -contractive type mappings in partially ordered G-metric spaces

Jianhua Chen; Xianjiu Huang

Open Mathematics (2015)

  • Volume: 13, Issue: 1, page 130-141
  • ISSN: 2391-5455

Abstract

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In this paper, we introduce a new concept of (α, φ)g-contractive type mappings and establish coupled coincidence and coupled common fixed point theorems for such mappings in partially ordered G-metric spaces. The results on fixed point theorems are generalizations of some existing results.We also give some examples to illustrate the usability of the obtained results.

How to cite

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Jianhua Chen, and Xianjiu Huang. " Coupled fixed point theorems for (α, φ) g -contractive type mappings in partially ordered G-metric spaces ." Open Mathematics 13.1 (2015): 130-141. <http://eudml.org/doc/275881>.

@article{JianhuaChen2015,
abstract = {In this paper, we introduce a new concept of (α, φ)g-contractive type mappings and establish coupled coincidence and coupled common fixed point theorems for such mappings in partially ordered G-metric spaces. The results on fixed point theorems are generalizations of some existing results.We also give some examples to illustrate the usability of the obtained results.},
author = {Jianhua Chen, Xianjiu Huang},
journal = {Open Mathematics},
keywords = {Partially ordered set; Coincidence point; Coupled fixed point; (α, φ)g-contractive type mappings; G-metric space; partially ordered set; couple coincidence point; coupled fixed point; compatible mappings; -metric space},
language = {eng},
number = {1},
pages = {130-141},
title = { Coupled fixed point theorems for (α, φ) g -contractive type mappings in partially ordered G-metric spaces },
url = {http://eudml.org/doc/275881},
volume = {13},
year = {2015},
}

TY - JOUR
AU - Jianhua Chen
AU - Xianjiu Huang
TI - Coupled fixed point theorems for (α, φ) g -contractive type mappings in partially ordered G-metric spaces
JO - Open Mathematics
PY - 2015
VL - 13
IS - 1
SP - 130
EP - 141
AB - In this paper, we introduce a new concept of (α, φ)g-contractive type mappings and establish coupled coincidence and coupled common fixed point theorems for such mappings in partially ordered G-metric spaces. The results on fixed point theorems are generalizations of some existing results.We also give some examples to illustrate the usability of the obtained results.
LA - eng
KW - Partially ordered set; Coincidence point; Coupled fixed point; (α, φ)g-contractive type mappings; G-metric space; partially ordered set; couple coincidence point; coupled fixed point; compatible mappings; -metric space
UR - http://eudml.org/doc/275881
ER -

References

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