Abstract
The terms of F-integral contraction as well as (omega, (zeta) over tilde, F, i)-integral contraction are introduced. Fixed point and common fixed point theorems are established. For the mapping F we use only the supposition that it is strictly increasing. As a consequence of the main theorems we obtain Jungck-Wardowski, Branciari-Wardowski and Jungck-Branciari type results. Consequently, the results presented in the article enhance and complement some known results in literature.