Recently, some researchers have established some results on existence of endpoints for multivalued mappings. In particular, Mohammadi and Rezapour's [Endpoints of Suzuki type quasi-contractive multifunctions, U.P.B. Sci. Bull., Series A, 2015] used the technique of $\alpha-\psi$-contractive mappings, due to Samet et al. (2012), to give some results about endpoints of Suzuki type quasi-contractive multifunctions satisfing property (BS). In this paper, we prove existence and uniqueness of endpoint for multivalued mappings satisfing the weaker conditions generalized $\phi$-contractivity of integral type and property (HS). This result generalize and improve Mohammadi and Rezapour's result. Also, we give an example to illustrate the usability of the result.
Mohammadi, B., & Alizadeh, E. (2019). Endpoints of generalized $\phi$-contractive multivalued mappings of integral type. Caspian Journal of Mathematical Sciences, 8(2), 137-144. doi: 10.22080/cjms.2018.9207.1265
MLA
Babak Mohammadi; Esmaeil Alizadeh. "Endpoints of generalized $\phi$-contractive multivalued mappings of integral type", Caspian Journal of Mathematical Sciences, 8, 2, 2019, 137-144. doi: 10.22080/cjms.2018.9207.1265
HARVARD
Mohammadi, B., Alizadeh, E. (2019). 'Endpoints of generalized $\phi$-contractive multivalued mappings of integral type', Caspian Journal of Mathematical Sciences, 8(2), pp. 137-144. doi: 10.22080/cjms.2018.9207.1265
VANCOUVER
Mohammadi, B., Alizadeh, E. Endpoints of generalized $\phi$-contractive multivalued mappings of integral type. Caspian Journal of Mathematical Sciences, 2019; 8(2): 137-144. doi: 10.22080/cjms.2018.9207.1265
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