Sentence examples for mapping satisfying a from inspiring English sources

We sometimes call a mapping satisfying (A) a Picard operator [10].

Moreover, as application, we give a unique fixed point theorem for a mapping satisfying a weak cyclical contractive condition.

In the following theorem, we obtain a coupled fixed point for a multivalued mapping satisfying a contractive condition.

In this section we use the previous results to prove a fixed point theorem for a mapping satisfying a weak cyclical contractive condition.

In this section, we obtain some tripled coincidence point theorems for a mapping satisfying a contractive condition of integral type in a complete ordered b-metric space.

He proposed an iterative scheme for a mapping satisfying a contractive condition which involves a gauge function of order r ≥ 1 and obtained error estimates as well.

In 2002, Branciari [21] proved a fixed point result for a mapping satisfying an integral-type inequality which is indeed an analogue of contraction mapping condition.

In [4] Branciari obtained a fixed point theorem for a single mapping satisfying an analogue of the Banach contraction principle for integral type inequality (see also [5 7]).

In the following main result, we prove the existence of the fixed point of the mapping satisfying an -contractive condition on the closed ball.

We prove a fixed point theorem for weakly compatible maps satisfying a general contractive condition of integral type.

In 1968, Kannan [1] proved a fixed point theorem for a map satisfying a contractive condition that did not require continuity at each point.