In this paper, we apply the idea of integral type contraction and prove some coupled fixed point theorems for such contractions in ordered $G$-metric space. Also, we support the main results by an illustrative example. Manuscript profile

Recently, Rahimi et al. [Comp. Appl. Math. 2013, In press] defined the conceptof quadrupled fied point in K-metric spaces and proved several quadrupled fixed pointtheorems for solid cones on K-metric spaces. In this paper some quadrupled fixed point resultsfor T-contraction on K-metric spaces without normality condition are proved. Obtainedresults extend and generalize well-known comparable results in the literature. Manuscript profile

In this paper, several fixed point theorems for T-contraction of two maps on conemetric spaces under normality condition are proved. Obtained results extend and generalizewell-known comparable results in the literature. Manuscript profile