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Common fixed points for Banach operator pairs with applications. (English) Zbl 1170.47036

Summary: The existence of common fixed point results for a Banach operator pair under certain generalized contractions is established. Invariant best approximation results are proved as applications and the existence of solutions of variational inequalities is obtained. We also study the solution of functional equations arising from dynamic programming.

MSC:

47H10 Fixed-point theorems
54H25 Fixed-point and coincidence theorems (topological aspects)
47J20 Variational and other types of inequalities involving nonlinear operators (general)
47N10 Applications of operator theory in optimization, convex analysis, mathematical programming, economics
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