Sentence examples for expansive conditions from inspiring English sources

In this paper, fixed point theorems for one mapping and common fixed point theorems for two mappings satisfying generalized expansive conditions are obtained.

Now, we introduce some common fixed point theorems for two expanding mappings which satisfy generalized expansive conditions without continuity of the mappings.

Moreover, some fixed point theorems for mappings satisfying the contractive or expansive conditions on C ∗ -algebra-valued metric spares arestablishedestablished

In this paper, we delete the continuity of the mappings and obtain some fixed point theorems for one expanding mapping and introduce common fixed point theorems for two expanding mappings, which satisfy generalized expansive conditions in nonnormal cone metric spaces.

Based on the concept and properties of C ∗ -algebras, the paper introduces a concept of C ∗ -algebra-valued metric spands and gives some fixed point theorems for self-maps with contractive or expansive conditions on such spaces.

In this paper, we introduce a new type of metric spaces which generalize the concepts of metric spaces and operator-valued metric spaces, and give some related fixed point theorems for self-maps with contractive or expansive conditions on such spaces.

On the one side, the usual contractive (expansive) condition is replaced by weakly contractive (expansive) condition.

Theorem 2.2 Let ( X, p b ) be a p b -complete partial b-metric space, A, S, and T : X → X be three mappings satisfying the generalized ( ϕ, g, h ) λ -weakly expansive condition (2.2).

IEC (intracranial expansive condition); MGCM (metabolic or genetic condition associated with macrocephaly); CDC Centers for Disease Controll head circumference growth curves); WHO (World Health Organization head circumference growth curves); PCN (primary care network head circumference growth curves); IMPL (multiple percentile lines).

IEC (intracranial expansive condition); MGCM (metabolic or genetic condition associated with macrocephaly); CDC Centers for Disease Controll head circumference growth curves); WHO (World Health Organization head circumference growth curves); PCN (primary care network head circumference growth curves); IMPL (increasing multiple percentile lines).

IEC (intracranial expansive condition); MGCM (metabolic or genetic condition associated with macrocephaly); BESS (benign enlargement of the subarachnoid spaces); CDC Centers for Disease Controll head circumference growth curves); WHO (World Health Organization head circumference growth curves); PCN (primary care network head circumference growth curves); IMPL (increasing multiple percentile lines).