A part-metric-related inequality chain and application to the stability analysis of difference equation. (English) Zbl 1133.26302
Summary: We find a new part-metric-related inequality of the form , where . We then apply this result to show that is a globally asymptotically stable equilibrium of the rational difference equation , .
|26D05||Inequalities for trigonometric functions and polynomials|
|39A11||Stability of difference equations (MSC2000)|