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

Authors

  • Babak Mohammadi Department of Mathematics, Marand Branch, Islamic Azad University, Marand, Iran
  • Esmaeil Alizadeh 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.

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Journal title

volume 8  issue 2

pages  137- 144

publication date 2019-08-01

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