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Modified generalized weakly contractive and \(F\)-contraction mappings with fixed point results. (English) Zbl 1489.54119

Summary: The purpose of this article is to present the existence and uniqueness results of a fixed point for cyclic generalized weakly contractive mappings as well as for cyclic \(F\)-contraction mappings in metric spaces. In this way, we extend and improve the conclusions of Z. Xue [Bull. Aust. Math. Soc. 93, No. 2, 321–329 (2016; Zbl 1334.54074)] and D. Wardowski [Fixed Point Theory Appl. 2012, Paper No. 94, 6 p. (2012; Zbl 1310.54074)]. Examples are given to useability of our conclusions.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
47H10 Fixed-point theorems
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References:

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