A Generalization of Caristi’s Fixed Point Theorem in the Variable Exponent Weighted Formal Power Series Space
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 .
Eldewaik, Marwa and Bakery, Awad, "A Generalization of Caristi’s Fixed Point Theorem in the Variable Exponent Weighted Formal Power Series Space" (2021). Basic Science Engineering. 23.