Abstract
Various types of unconnected optimization problems in infinite space are explored. In particular, many papers have been published on the best approximation and the best proximity point. The purpose of this chapter is to start a new path to solve constrained optimization problems in the infinite space of the best approximation and the best proximity point types. Hence, we give a new extension of the KKT optimality conditions in a Hilbert space, and we solve the KKT system of a nonlinear programming problem with infinite constraints.
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Haddadi, M.R., Mursaleen, M., Valaei, M., Parvaneh, V. (2024). Infinite Programming and Application in the Best Proximity Point Theory. In: Hazarika, B., Acharjee, S., Djordjević, D.S. (eds) Advances in Functional Analysis and Fixed-Point Theory. Industrial and Applied Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-99-9207-2_2
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DOI: https://doi.org/10.1007/978-981-99-9207-2_2
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