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Nowadays in solving adaptive control problems Lyapunov's second method is generally involved. Although, the method is ingenious and very popular, recently alternative solutions have appeared which in many cases prove to be more advantageous and also effective. One of these methods is the family of Robust Fixed Point Transformations (RFPT) which can be used in several areas successfully. In this paper a novel variant of RFPT is introduced which reduces the range of the main function by half while keeps the result as effective as before. This statement is illustrated via simulations where two coupled Fitz-Hugh-Nagumo neurons are synchronized by the modified system.