Sentence examples for under a contractive condition from inspiring English sources

Further, Frigon and O'Regan [4] extended Heilpern's result under a contractive condition for 1-level sets of a fuzzy contraction on a complete metric space, where 1-level sets are not assumed to be convex and compact.

In the present article, we prove the existence of a coincidence point of a mapping and a relation under a contractive condition which is an innovative and real generalization of the Banach contraction theorem.

We obtain coincidence points of mappings and relations under a contractive condition in a metric space.

Moreover, a result is deduced on existence of a unique coincidence point for two nonself mappings under a contractive condition.

In [6], the author gave a common fixed-point theorem for noncompatible self-mappings in a symmetric spaces under a contractive condition of integral type.

In 2012, Azam [3] obtained the existence of a coincidence point of a mapping and a relation under a contractive condition in the context of metric space.

The aim of this paper is to obtain a common α-fuzzy fixed point of a pair of fuzzy mappings S and T on a complete metric space under a generalized contractive condition for α-level sets (i.e., [ S x ] α, [ T x ] α ) of S and T in connection with Hausdorff metric for fuzzy sets.

Finally, we establish a common fixed point theorem under a strict contractive condition on compact metric spaces.

In this paper, we obtained fixed point results for fuzzy set-valued mappings under a generalized contractive condition related to the d ∞ -metric which is useful for computing Hausdorff dimensions.

This paper is devoted to investigating the existence of fixed points and best proximity points of multivalued cyclic self-mappings in metric spaces under a generalized contractive condition involving Hausdorff distances.

In this paper, utilizing the notion of common limit range property for two pairs of self mappings, we prove common fixed point theorems in fuzzy metric spaces under a limit contractive condition, which improve and extend the results of Zhu et al. [Common fixed point theorems of new contractive conditions in fuzzy metric spaces, J. Appl. Math. 2013:145190, 2013].