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In this paper, we establish common fixed point theorems for two weakly compatible self-mappings satisfying the contractive condition or the quasi-contractive condition in the case of a quasi-contractive constant in cone b-metric spaces without the normal cone, where the coefficient s satisfies . The main results generalize, extend and unify several well-known comparable results in the literature.
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Shi et al. (2013) studied this question.
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