TY - JOUR AU - Jain, Manish AU - Gupta, Neetu AU - Kumar, Sanjay PY - 2014 TI - Coupled Fixed Point Results for Mappings Involving \((\alpha , \psi)\)- Weak Contractions in Ordered Metric Spaces and Applications JO - Journal of Mathematics and Computer Science SP - 23-46 VL - 10 IS - 1 AB - In this paper we introduce the notion of \((\alpha , \psi)\)- weak contractions and use the notion to establish the existence and uniqueness of coupled common fixed points for the mixed monotone operators in partially ordered metric spaces. The obtained results extend, improve, complement and unify many recent coupled fixed point results present in the literature. The theoretic results are accompanied with suitable examples. An application to the existence and uniqueness of the solution of the system of integral equations is also presented. SN - ISSN 2008-949X UR - http://dx.doi.org/10.22436/jmcs.010.01.03 DO - 10.22436/jmcs.010.01.03 ID - Jain2014 ER -