Common fixed points for single-valued and multi-valued maps satisfying a generalized contraction in -metric spaces

Karapınar, ErdalTahat, NedalAydi, HassenKarapinar, ErdalShatanawi, WasfiMathematics2024-07-052024-07-052012891687-181210.1186/1687-1812-2012-482-s2.0-84862299961https://doi.org/10.1186/1687-1812-2012-48https://hdl.handle.net/20.500.14411/1312KARAPINAR, ERDAL/0000-0002-6798-3254; Aydi, Hassen/0000-0003-4606-7211; tahat, nedal/0000-0003-4396-8823; , Hassen/0000-0003-3896-3809; Shatanawi, Wasfi/0000-0001-7492-4933In this article, we establish some common fixed point theorems for a hybrid pair {} of single valued and multi-valued maps satisfying a generalized contractive condition defined on -metric spaces. Our results unify, generalize and complement various known comparable results from the current literature. 54H25; 47H10; 54E50.eninfo:eu-repo/semantics/openAccessmulti-valued mappingscommon fixed pointweakly compatible mappingsgeneralized contractionCommon fixed points for single-valued and multi-valued maps satisfying a generalized contraction in -metric spacesArticleWOS:000304116600001