There are different types or functions of faith.
1 Cor 12:4There are different kinds of gifts, but the same Spirit distributes them. 5There are different kinds of service, but the same Lord. 6There are different kinds of working, but in all of them and in everyone it is the same God at work.
7Now to each one the manifestation of the Spirit is given for the common good. 8To one there is given through the Spirit a message of wisdom, to another a message of knowledge by means of the same Spirit, 9to another faith by the same Spirit, to another gifts of healing by that one Spirit, 10to another miraculous powers, to another prophecy, to another distinguishing between spirits, to another speaking in different kinds of tongues, a and to still another the interpretation of tongues. b 11All these are the work of one and the same Spirit, and he distributes them to each one, just as he determines.
These are all post regeneration. No unbeliever possesses any of these gifts. Here faith is a special strength of faith that is used for the "common good" of the body of Christ, the Church. This is not saving faith, but encouraging and sustaining faith that is used to build and strengthen the Church.
The fruits of the spirit, however, are more internal in the life of the believer. These are character traits of the growing believers, what their inner spirituality looks like.
Galatians 5: 22-23
22But the fruit of the Spirit is love, joy, peace, forbearance, kindness, goodness, faithfulness, 23gentleness and self-control. Against such things there is no law.
Note that the suffix "ness" is used on a series of words in 22-23, indicating the state of being actively Kind, Good, Faithful, and Gentle. We can only do these things through the Spirit. Thus, they, these types of behavior and lifestyle expressions, are produced by, and are the Fruits of the Spirit in a true believer.
This is not saving faith, but living faith. Faithfulness that is evidence of the reality of the Spirit within the believer. Maintaining an objective and dynamic faith in various types of circumstances and with consistency over time.
Peter, in 2 Pet 1:5-8, makes a similar list, but expresses it more dynamically rather than objectively. We are told to "add to" our objective faith in Christ "goodness; and to goodness, knowledge; and to knowledge, self-control; and to self-control, perseverance; and to perseverance, godliness; and to godliness, mutual affection; and to mutual affection, love...", and this, "in increasing measure". This faith is not saving either, but the objective faith established when we first believed that needs supplemented by these various things such as excellence, knowledge, and perseverance, among other characteristics.
Doug