I assume that since you mention "close type" you are mainly looking for "Over-ear" type of headphones?
I have bought last year the Avantree Audition Pro bluetooth headphones. Surprisingly good headphones. I wanted bluetooth because I am also using them at the gym, and my music is almost totally on my cellphone. And you can take phonecalls with them. Nobody has ever complained that they couldn't hear me talking.
The battery life is excellent. I listen to a lot of music, even at work using those, and the battery lasts at least a week before it needs charging. And, the sound quality is quite nice. It is quite subjective when it comes to "tonality", but they are relatively balanced (neither bright nor boomy).
For the price, considering the bluetooth capability, I think it's a very good purchase.