Sentence examples for contraction conditions from inspiring English sources

We prove the existence of common fuzzy fixed points for a sequence of locally contractive fuzzy mappings satisfying generalized Banach type contraction conditions in a complete metric space by using iterations.

In this paper, motivated by the work of Jachymski [12] and Branciari [1], we introduce two new contraction conditions for mappings on complete metric spaces and, using these contractive conditions, obtain some fixed point theorems.

The aim of this paper is to prove some unified metrical fixed point theorems employing an arbitrary binary relation under an implicit contractive condition which is general enough to cover a multitude of well known contraction conditions in one go besides yielding several new ones.

This implies that contraction conditions (3), (4), and (5) do not hold.

In this approach [40], contraction conditions cannot be expressed in two variables.

Now, we mention some special cases corresponding to some core contraction conditions.

Some of such generalizations are obtained by contraction conditions described by rational expressions (see [11 13]).

One of the most general contraction conditions was given by Ćirić [29] in 1974.

The degree of linearity differed between the three contraction conditions and high pass filtering improved the linearity in all conditions.

This study was designed to determine if the ability to distinguish between contraction conditions was influenced by sensor location.

These generalized metric spaces often appear to be metrizable and the contraction conditions may be preserved under special transforms.