A DISCUSSION ON SOME RECENT COUPLED FIXED POINT RESULTS VIA NEW GENERALIZED NONLINEAR CONTRACTIVE CONDITIONS

Abstract

Recently, Samet et al.metrics showed that certain coupled fixed point results can be obtained immediately fromthe well-known fixed point theorems. In the setting of partially ordered metric spaces,we establish a generalization of the recent coupled fixed/ coincidence point results undernew nonlinear contractive conditions. The significant feature of the presented work isthat, our obtained results are not the immediate consequence of the already existingresults in the literature. Presented work generalizes some of the results of Bhaskar andLakshmikantham [6], Berinde [7], Choudhury et al. [10], Harjani et al. [17], Jain et al.[21] , Karapinar et al. [22], Luong and Thuan [25], and Rasouli and Bahrampour [30].