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Authors: TÜNDE CSEH, SÁNDOR KAJÁNTÓ, ANDOR LUKÁCS.
DOI: 10.24193/subbmath.2022.3.13
Published Online: 2022-09-20
Published Print: 2022-09-30
pp. 615-619
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This paper investigates whether some fixed point theorems for quasicontractions on metric spaces introduced by Ćirić in [1] and generalised by Kumam et al. in [2] can be improved further. It turns out that the answer is negative. We provide two examples of complete metric spaces and two operators without fixed points. We prove that for any possible straightforward relaxation of generalized quasi-contractive conditions, one of these operators satisfies the condition.
Mathematics Subject Classification (2010) : 47H10, 54H25.
Keywords: Quasi-contractions, fixed point theorems, metric spaces.
