I am porting at TCPIP program from windows to linux. In windows there are events like FD_ACCEPT, FD_READ, FD,WRITE and FD_CONNECT what is the equivalent ones to use in Linux. Any examples would be welcome.

man 2 socket

There are functions like accept(), read(), write() etc. All have their manpages, for example 'man 2 accept' will show accept's manpage (with syntax, return values etc).

The list of all (if I make no mistake here) functions you need: socket, bind, listen, accept, read, write, close.

You sound like you're used ti using an event loop and WM_SOCKET messages. I don't know if you plan on doing GUI programming, and I don't know if the linux gui toolkits provide a similar functionality. However, what you do have availabe is the select() function. You can pass to it a number of socket descriptors, and a timeout, it returns when the time is up or one of the sockets is readable/writeable. You don't have any type of "connect" or "accept" though, just readable and writeable. You have to determine what's going on yourself. 'man 2 select' and I'd read this if you want a real understanding of what's going on, which you probably do:
http://www.ecst.csuchico.edu/~beej/guide/net/html/