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Internet Of Things (IoT) Is A New Technology Which Offers Enormous Applications That Make People’s Lives More Convenient And Enhances Cities’ Development. In Particular, Smart Healthcare Applications In IoT Have Been Receiving Increasing Attention For Industrial And Academic Research. However, Due To The Sensitiveness Of Medical Information, Security And Privacy Issues In IoT Healthcare Systems Are Very Important. Designing An Efficient Secure Scheme With Less Computation Time And Energy Consumption Is A Critical Challenge In IoT Healthcare Systems. In This Paper, A Lightweight Online/offline Certificateless Signature (L-OOCLS) Is Proposed, Then A Heterogeneous Remote Anonymous Authentication Protocol (HRAAP) Is Designed To Enable Remote Wireless Body Area Networks (WBANs) Users To Anonymously Enjoy Healthcare Service Based On The IoT Applications. The Proposed L-OOCLS Scheme Is Proven Secure In Random Oracle Model And The Proposed HRAAP Can Resist Various Types Of Attacks. Compared With The Existing Relevant Schemes, The Proposed HRAAP Achieves Less Computation Overhead As Well As Less Power Consumption On WBANs Client. In Addition, To Nicely Meet The Application In The IoT, An Application Scenario Is Given.