Hikers and Trail Running

Unless you know what type of foot you have I would suggest going into a running store for an evaluation of what type of shoe fits you.
As for the shoes themselves I like the Solomons and Adidas that have the raised triangular grip. Nothing beats that for traction.

I have had good luck with Solomon over the years, very light and great traction.

Altras!! I know the owner/founders of the company, and asked them to give me the name of one of their shoes to use to walk around Disneyland. These shoes are amazing! I will definitely get several more pair. Look into them.

Salomon speed cross 3. Super lightweight with great traction. I love mine so much I use them for hunting when the weather is dry as well.

I've heard good things about the Solomon Speedcross 3's but they felt tight and funny on my feet. I recently purchased some Altra Lone Peak 2.5 shoes that I'm loving but with the zero drop they aren't for everyone. They do have some great grip, and coming from some Merrell Trail Gloves, they were a big step up in comfort/cushion for me. I've liked them enough I'm looking at getting a pair of Altra Instincts for road running as well.

I'd second the recommendation above to go to a reputable running store and have them check your feet/stride. Based on that they can give you a better recommendation for your feet.