## Approximating fixed points of weak $$\varphi$$-contractions using the Picard iteration.(English)Zbl 1065.47069

The author proves fixed point results for maps $$T$$ satisfying a condition of type $$d(Tx,Ty)\leq \varphi(d(x,y))+ Ld(y, Tx)$$.

### MSC:

 47J25 Iterative procedures involving nonlinear operators 54H25 Fixed-point and coincidence theorems (topological aspects) 47H10 Fixed-point theorems

### Keywords:

fixed point results