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Journal of Convex Analysis 29 (2022), No. 2, 345--360
Copyright Heldermann Verlag 2022

Fixed Point Results for p-Convex Subsets in Quasi-Normed Spaces and Applications

Nguyen Van Dung
Department of Mathematics, Information Technology and Teacher Education, Dong Thap University, Cao Lanh City, Vietnam

We prove some fixed point results for p-convex subsets in quasi-normed spaces which are not assumed to be p-normed spaces. Then we present certain applications to game theory and a new class of integral equations of the non-continuous variable.

Keywords: Quasi-norm, fixed point, integral equation.

MSC: 46A16, 47H10; 45G10.

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