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Fixed points for cyclic orbital generalized contractions on complete metric spaces

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Karapınar E., Romaguera S., Taş K.

Open Mathematics

2013

tom 11

nr 3

552-560

We prove a fixed point theorem for cyclic orbital generalized contractions on complete metric spaces from which we deduce, among other results, generalized cyclic versions of the celebrated Boyd and Wong fixed point theorem, and Matkowski fixed point theorem. This is done by adapting to the cyclic framework a condition of Meir-Keeler type discussed in [Jachymski J., Equivalent conditions and the Meir-Keeler type theorems, J. Math. Anal. Appl., 1995, 194(1), 293–303]. Our results generalize some theorems of Kirk, Srinavasan and Veeramani, and of Karpagam and Agrawal.

Ograniczanie wyników

1 Open Mathematics

1 Karapınar E.

1 Romaguera S.

1 Taş K.

1 2013

Wyniki wyszukiwania

Fixed points for cyclic orbital generalized contractions on complete metric spaces