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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
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