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Some theorems on $$\phi$$-contractive mappings in modular space. (English) Zbl 1367.47059
Summary: In the present paper, we prove a fixed point theorem for $$\phi$$-contractive mappings in modular space, then we examine the convergence and the stability for some iteration procedures for this fixed point.

##### MSC:
 47H10 Fixed-point theorems 47J25 Iterative procedures involving nonlinear operators 46A80 Modular spaces