In this paper, we obtained some new estimates on generalization of Hadamard, Ostrowski and Simpson-like type inequalities for harmonically quasi-convex functions via Riemann Liouville fractional integral.

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

This paper analyzes the complexity of the contraction fixed point problem: compute an ε-approximation to the fixed point V ∗ = Γ(V ∗) of a contraction mapping Γ that maps a Banach space Bd of continuous functions of d variables into itself. We focus on quasi linear contractions where Γ is a nonlinear functional of a finite number of conditional expectation operators. This class includes contrac...

Branciari [1] obtained a fixed point result for a single mapping satisfying an analogue of Banach’s contraction principle for an integral-type inequality. The second author [3] proved two fixed point theorems involving more general contractive conditions. In this paper, we establish a general principle, which makes it possible to prove many fixed point theorems for a pair of maps of integral ty...