Abstract
In this paper, we introduce the strong b-suprametric spaces in which we prove the fixed point principles of Banach and Edelstein. Moreover, we prove a variational principle of Ekeland and deduce a Caristi fixed point theorem. Furthermore, we introduce the strong b-supranormed linear spaces in which we establish the fixed point principles of Brouwer and Schauder. As applications, we study the existence of solutions to an integral equation and to a third-order boundary value problem.
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Communicated by Simeon Reich.
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Berzig, M. Strong b-Suprametric Spaces and Fixed Point Principles. Complex Anal. Oper. Theory 18, 148 (2024). https://doi.org/10.1007/s11785-024-01594-2
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DOI: https://doi.org/10.1007/s11785-024-01594-2