Endpoints of generalized $\phi$-contractive multivalued mappings of integral type

Document Type: Research articles

Authors

Department of Mathematics, Marand Branch, Islamic Azad University, Marand, Iran

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


Article Title [Persian]

نقاط انتهایی نگاشت های مجموعه مقداری $phi$-انقباظی تعمیم یافته ازنوع انتگرالی

Abstract [Persian]

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