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Solutions of integral equations via fixed-point results on orthogonal gauge structure. (English) Zbl 1512.45001

Summary: The main outcome of this paper is to introduce the notion of orthogonal gauge spaces and to present some related fixed-point results. As an application of our results, we obtain existence theorems for integral equations.

MSC:

45D05 Volterra integral equations
47H10 Fixed-point theorems
45G10 Other nonlinear integral equations
Full Text: DOI

References:

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