Existence theorem for integral inclusions by a fixed point theorem for multivalued implicit-type contractive mappings

Muhammad Usman Ali; Ariana Pitea

doi:10.15388/namc.2021.26.22357

Articles

Muhammad Usman Ali

COMSATS University Islamabad, Attock Campus

https://orcid.org/0000-0003-4648-9318

Ariana Pitea

University Politehnica of Bucharest

https://orcid.org/0000-0001-8198-3077

Published 2021-03-01

https://doi.org/10.15388/namc.2021.26.22357

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Keywords

fixed point
implicit simulation function
integral inclusions
multivalued mappings

How to Cite

Ali, M.U. and Pitea, A. (2021) “Existence theorem for integral inclusions by a fixed point theorem for multivalued implicit-type contractive mappings”, Nonlinear Analysis: Modelling and Control, 26(2), pp. 334–348. doi:10.15388/namc.2021.26.22357.

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Abstract

In this article, we introduce fixed point theorems for multivalued mappings satisfying implicit-type contractive conditions based on a special form of simulation functions. We also provide an application of our result in integral inclusions. Our outcomes generalize/extend many existing fixed point results.

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