Best proximity points of cyclic -contractions on reflexive Banach spaces.

Rezapour, Sh.; Derafshpour, M.; Shahzad, N.

Displaying similar documents to “Best proximity points of cyclic $ϕ$ -contractions on reflexive Banach spaces.”

Results on the existence and convergence of best proximity points.

Abkar, Ali, Gabeleh, Moosa (2010)

Fixed Point Theory and Applications [electronic only]

Similarity:

Fixed points for cyclic orbital generalized contractions on complete metric spaces

Erdal Karapınar, Salvador Romaguera, Kenan Taş (2013)

Open Mathematics

Similarity:

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...