<p>In this paper, weakly convergent sequence coefficient is calculated in Orlicz sequence spaces equipped with <i>s</i>-norms and criteria for the fixed point property are presented. It is shown that an Orlicz sequence space equipped with an <i>s</i>-norm has the fixed point property if and only if it is reflexive. Although weakly convergence coefficients of Orlicz sequence spaces equipped with the Orlicz, <i>p</i>-Amemiya and Luxemburg norms are known, we can easily deduce them from our main results.</p>

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Weakly convergent sequence coefficient and fixed point property in Orlicz sequence spaces equipped with s-norms

  • Xiaoyan Li,
  • Yunan Cui,
  • Shaoqiang Shang

摘要

In this paper, weakly convergent sequence coefficient is calculated in Orlicz sequence spaces equipped with s-norms and criteria for the fixed point property are presented. It is shown that an Orlicz sequence space equipped with an s-norm has the fixed point property if and only if it is reflexive. Although weakly convergence coefficients of Orlicz sequence spaces equipped with the Orlicz, p-Amemiya and Luxemburg norms are known, we can easily deduce them from our main results.