Title of article
COUPLED FIXED POINTS OF GERAGHTY-TYPE MAPPINGS IN G-METRIC SPACES
Author/Authors
CHUGH ، RENU - Maharshi Dayanand University , RHOADES ، B. E. - Indiana University , AGGARWAL ، MADHU - Maharshi Dayanand University
Pages
16
From page
127
To page
142
Abstract
In this paper we prove some coupled fixed point theorems for Geraghty-type mappings having mixed monotone property and depending on another function in Gmetric spaces. Moreover, we prove the uniqueness of the coupled fixed point. Our results generalize several comparable results in the literature. We also give some examples to prove the validity of our results. At the end, application to a certain class of non-linear integral equations is also obtained.
Keywords
G , metric space , coupled fixed point , Geraghty , type mappings , mixed monotone property , partial order , integral equation
Journal title
Journal of Advanced Mathematical Studies
Serial Year
2013
Journal title
Journal of Advanced Mathematical Studies
Record number
2477721
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