The reality star and rapper watched a movie Monday

By Michele Corriston
Updated January 13, 2016 10:40 AM
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It seems Kyga is still on.

Kylie Jenner and her boyfriend Tyga were spotted out and about Los Angeles a week after a 14-year-old aspiring model and singer accused the rapper of sending her inappropriate messages. (His manager said Tyga only wanted to discuss signing the girl to his music label and claims she lied about her age.)

Jenner, 18, and Tyga, 26, went to a doctor’s office in Beverly Hills together Tuesday. And the night before, the stars held hands hands during a movie date in Hollywood, according to photos obtained by Entertainment Tonight.

“They have been fighting but are still hanging in there,” a source told PEOPLE on Saturday.

Meanwhile, the budding makeup entrepreneur posted a video on her app/website telling fans that her New Year’s resolution is to “be home as much as I can” and focus on her BFFs.

“In 2015, we all kind of got disconnected. I really didn’t appreciate my friends as much as I should, and they just like keep me grounded, and if I didn’t have them I feel like I really wouldn’t be myself, like they hold a part of me. I see more of myself when I hang out with them.”