Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: Menger space

Sortuj według:

Ogranicz wyniki do:

P-cyclic c-contraction result in Menger spaces using a control function

Choudhury B. S., Bhandari S. K.

Demonstratio Mathematica

2016

Vol. 49, nr 2

213--223

The intrinsic flexibility of probabilistic metric spaces makes it possible to extend the idea of contraction mapping in several inequivalent ways, one of which being the C-contraction. Cyclic contractions are another type of contractions used extensively in global optimization problems. We introduced here p-cyclic contractions which are probabilistic C-contraction types. It involves p numbers of subsets of the spaces and involves two control functions for its definitions. We show that such contractions have fixed points in a complete probabilistic metric space. The main result is supported with an example and extends several existing results.

On common fixed point theorems for semi-compatible mappings in Menger space

Singh B., Jain A., Lodha B.

Commentationes Mathematicae

2010

Vol. 50, [Z] 2

127-139

In this paper, the concept of semi-compatibility and weak compatibility in Menger space has been applied to prove a common fixed point theorem for six self maps. Our result generalizes and extends the result of Pathak and Verma [6].