Title

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

Document Type

Article

Publication Date

6-7-2021

Abstract

Suppose ( be sequence of positive reals. By , we represent the space of all formal power series equipped with , for some λ > 0: Various topological and geometric behavior of and the prequasi ideal constructs by s-numbers and have been considered. The upper bounds for s-numbers of infinite series of the weighted n-th power forward shift operator on with applications to some entire functions are granted. Moreover, we investigate an extrapolation of Caristi’s fixed point theorem in .

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