endpoints of generalized ϕ-contractive multivaluedmappings of integral type

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 α−ψ-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 ϕ-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.