A Generalization of Caristi’s Fixed Point Theorem in the Variable Exponent Weighted Formal Power Series Space

[摘要] Suppose ðpnÞ be sequence of positive reals. By HwððpnÞÞ, we represent the space of all formal power series ∑∞ n=0anzn equipped with ∑∞ n=0jλan/ðn + 1Þjpn 0: Various topological and geometric behavior of HwððpnÞÞ and the prequasi ideal constructs by s-numbers and HwððpnÞÞ have been considered. The upper bounds for s-numbers of infinite series of the weighted n-th power forward shift operator on HwððpnÞÞ with applications to some entire functions are granted. Moreover, we investigate an extrapolation of Caristi’s fixed point theorem in HwððpnÞÞ.

[学科分类] 护理学