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Best approximation theorem for set-valued mappings without convex velues and continuity

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Abstract

In this paper, a new concept of weakly convex graph for set-valued mappings is introduced and studied. By using the concept, some new coincidence, the best approximation and fixed point theorems are obtained.

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Project supported by the Natural Science Foundation of Sichuan Education Committee, P. R. China

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Xieping, D., Yiran, H. Best approximation theorem for set-valued mappings without convex velues and continuity. Appl Math Mech 19, 831–836 (1998). https://doi.org/10.1007/BF02458237

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  • DOI: https://doi.org/10.1007/BF02458237

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