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Subweakly biased pairs and Jungck contractions with applications. (English) Zbl 1242.47044

The authors study the existence of common fixed point results for weakly biased pairs under Jungck contractions. The class of their study, subweakly biased maps, contains the classes of commuting, \(R\)-weakly commuting, pointwise \(R\)-subweakly commuting and \(C_{q}\)-commuting self-maps. They obtain several invariant approximation results as applications. Their results unify, extend and complement results existing in the literature.

MSC:

47H10 Fixed-point theorems
54H25 Fixed-point and coincidence theorems (topological aspects)
41A50 Best approximation, Chebyshev systems
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