Endpoints of generalized $\phi$-contractive multivalued mappings of integral type
Publish place: Caspian Journal of Mathematical Sciences، Vol: 8، Issue: 2
Publish Year: 1398
نوع سند: مقاله ژورنالی
زبان: English
View: 228
This Paper With 8 Page And PDF Format Ready To Download
- Certificate
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
JR_CJMS-8-2_005
تاریخ نمایه سازی: 27 بهمن 1399
Abstract:
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.
Keywords: