Limit MySQL End User to Viewing His Own Entries Only - mysql

Question

My Table is like this
ID FileNumber SellerRep BuyerRep Address
123 142366 John Doe Steve Doe 123 Cute Ave
122 142365 Steve Doe John Doe 412 Best Blvd
121 142364 John Doe John Doe 234 Park Ave
120 132363 Steve Doe Steve Doe 233 Cool St
119 132362 Steve Doe Frank Good 432 Bad Street
users: johnd (lists his name as John Doe)
steved (lists his name as Steve Doe)
How can I limit end user to view/see only his own entries. His entries always include his name either in SellerRep or BuyerRep columns, and sometimes in both though they may possibly be misspelled (e.g. Steven Do, etc). However, either SellerRep or BuyerRep columns may include name of the non user as in the entry with ID # 119 in the table example.
So, basically, if Steve Doe logs in, I want him to see only entries with ID # 119, 120, 122, 123, and if John Doe logs in, I would like to limit his views only to records with ID # 123, 122, 121. One issues though is that One of them may have specify the full name of another user in either SellerRep or BuyerRep column, and I wouldn't want in this case the other user to see this entry.
Is there a way to accomplish this with views or triggers and not in PHP page, even if I have to add another column like #user with auto_complete if that possible.
The least what I could think of to start with is:
CREATE VIEW saleslogview
AS
SELECT *
FROM saleslog
WHERE SellerRep = 'Steve Doe';
CREATE VIEW saleslogview
AS
SELECT *
FROM saleslog
WHERE BuyerRep = 'John Doe';
CREATE VIEW saleslogview
AS
SELECT *
FROM saleslog
WHERE BuyerRep = 'Steve Doe';
CREATE VIEW saleslogview
AS
SELECT *
FROM saleslog
WHERE SellerRep = 'John Doe';
However, when I tried to log in as user steved or johnd with like SQLBuddy and tried to search records it did not work as intended - all records were "visible".
Perhaps there is a way to accomplish this using SESSION_USER(), but I don't know anything about it.