Abstract
In this work, the authors introduce the concept of (p, q)-quasi-contraction mapping in a cone metric space. We prove the existence and uniqueness of a fixed point for a (p, q)-quasi-contraction mapping in a complete cone metric space. The results of this paper generalize and unify further fixed point theorems for quasi-contraction, convex contraction mappings and two-sided convex contraction of order 2.
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Chaker, W., Ghribi, A., Jeribi, A. et al. Fixed point theorems for (p, q)-quasi-contraction mappings in cone metric spaces. Chin. Ann. Math. Ser. B 37, 211–220 (2016). https://doi.org/10.1007/s11401-016-0957-5
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DOI: https://doi.org/10.1007/s11401-016-0957-5