Displaying 81 – 100 of 172

Showing per page

Fixed point theorems of G -fuzzy contractions in fuzzy metric spaces endowed with a graph

Satish Shukla (2014)

Communications in Mathematics

Let ( X , M , * ) be a fuzzy metric space endowed with a graph G such that the set V ( G ) of vertices of G coincides with X . Then we define a G -fuzzy contraction on X and prove some results concerning the existence and uniqueness of fixed point for such mappings. As a consequence of the main results we derive some extensions of known results from metric into fuzzy metric spaces. Some examples are given which illustrate the results.

Fixed points and best approximation in Menger convex metric spaces

Ismat Beg, Mujahid Abbas (2005)

Archivum Mathematicum

We obtain necessary conditions for the existence of fixed point and approximate fixed point of nonexpansive and quasi nonexpansive maps defined on a compact convex subset of a uniformly convex complete metric space. We obtain results on best approximation as a fixed point in a strictly convex metric space.

Fixed points for cyclic orbital generalized contractions on complete metric spaces

Erdal Karapınar, Salvador Romaguera, Kenan Taş (2013)

Open Mathematics

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...

Currently displaying 81 – 100 of 172