A relation-theoretic set-valued version of Prešić-Ćirić theorem and applications
نویسندگان
چکیده
Abstract In this paper, we establish a relation-theoretic set-valued version of the fixed point result Ćirić and Prešić (Acta Math. Univ. Comen. LXXVI(2):143–147, 2007) on metric spaces endowed with an arbitrary binary relation. The results generalize unify 2007), Shukla López (Quaest. 45(3):1–16, 2019), Radenović (An. Ştiinţ. ‘Al.I. Cuza’ Iaşi, Mat. 63(2):339–350, 2017) in product spaces. Some examples are provided that justify importance our results. As applications main result, have established existence solutions to differential inclusion problems weak asymptotical stability global attractivity equilibrium difference problem. use relations permits us apply weaker assumptions than those used papers mentioned above.
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ژورنال
عنوان ژورنال: Boundary Value Problems
سال: 2023
ISSN: ['1687-2770', '1687-2762']
DOI: https://doi.org/10.1186/s13661-023-01748-9