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Some common fixed point theorems for generalized nonlinear contractive mappings. (English) Zbl 1236.65062

Summary: Sufficient conditions for the existence of a common fixed point for generalized nonlinear contractive mappings are derived. As applications, some results on the set of best approximation for this class of mappings are also obtained. The proved results generalize and extend various known results in the literature.

MSC:

65J15 Numerical solutions to equations with nonlinear operators
47H10 Fixed-point theorems
54H25 Fixed-point and coincidence theorems (topological aspects)
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