it seems like 1 out of 2 people are having this issue, at my work place 3 of use (2 using 5s and 1 using 6) are having battery and heating issues, only 1 person in the office doesnt seem to be having the problem. Apple really need to address this problem. i use apple because i feel it is a reliable consistant brand, please bare in mind i have done all the standard trouble shooting, turning off apps notifications, dimming light and restoring phone. I along with 2 other collegues as we work in IT department of our company. Please let us know what is being done to rectify this issue as, and also ive only seen one response from apple regarding this issue please be polite enough to respond to us. this is a world wide problem!
regards