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In this paper, we consider, discuss and complement fixed points results for mappings satisfying cyclical contractive conditions established by Kirk et al. (Fixed Point Theory 4(1):79–89, 2003). By using our new Lemma we get much shorter and nicer proofs of some results with the new concept of mappings.
Azam et al. (Numer Funct Anal Optim, 32(3):243–253, 2011) introduced a notion of complex valued metric space and obtained common fixed point result for mappings in such spaces. In this paper, introducing the concept of complex valued generalized metric spaces, some fixed and common fixed point results are obtained. As an application, periodic point property of common fixed point problem for two rational...
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