Common Fixed Points of Weak Generalized (alpha, psi)-Contractions in Partial Ordered Metric Spaces
In this paper, we introduce a pair (f,g) of weak generalized (α,ψ)-contractive maps with rational expressions and prove the existence of common fixed points when (f,g) is a pair of weakly compatible maps and the range of g is complete in partially ordered metric spaces where f is a triangular (α,g)-admissible map. Further, we prove the same conclusion by relaxing the condition range of g is complete’, but by imposing reciprocally continuity of (f,g) and compatibility of (f,g) in partially ordered complete metric spaces. Our results generalize the results of Arshad, Karapinar and Ahmad  and Harjani, Lopez and Sadarangani .
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