On An Existential Question for Strictly Decreasing Convergent Sequences

Year 2022, , 336 - 338, 30.09.2022

Jen-yuan Chen Wei-shih Du

https://doi.org/10.31197/atnaa.1078671

Abstract

In this paper, we study an existential question for strictly decreasing convergent sequences. Applying Du's existence theorem, our question will be answered affirmatively.

Keywords

Strictly decreasing sequence, convergent sequence, existential question, Du

References

• [1] W.-S. Du, Existence and uniqueness of zeros for vector-valued functions with K-adjustability convexity and their applications, Mathematics 2019, 7(9), 809.
• [2] W.-S. Du, Minimization of functionals with adjustability quasiconvexity and its applications to eigenvector problem and fixed point theory, Journal of Nonlinear and Convex Analysis 22(7) (2021) 1389-1398.