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On T-stability of the Picard iteration for generalized \(\varphi\)-contraction mappings. (English) Zbl 1252.54035
Summary: We introduce some results on T-stability of the Picard iteration for \(\varphi\)-contraction and generalized \(\varphi\)-contraction mappings on metric spaces.

MSC:
54H25 Fixed-point and coincidence theorems (topological aspects)
54E40 Special maps on metric spaces
54E50 Complete metric spaces
47J25 Iterative procedures involving nonlinear operators
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