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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