きています

has been ...ing; is becoming

→ 来る
phrase Rare #40,785
has been ...ing; is becoming Usually follows the て-form of a verb as 〜てきています. It indicates movement toward the speaker or a change that has progressed up to the present. For example, 良くなってきています means “is getting better,” while 持ってきています means “has brought.”
JA: 最近、だんだん寒くなってきています。
EN: It has gradually been getting colder lately.

良くなってきています

It’s getting better.

包囲したと思ったんですがあちこちから飛んできています

I thought we had them surrounded, but arrows are flying at us from all directions.

— RRR (2022)

彼は良くなってきています

He is getting better.

コート傘を持ってきています

I’ve brought my shoes, coat, and umbrella.