Multivalued weakly Picard operators via simulation functions with application to functional equations

Azhar Hussain; Saman Yaqoob; Thabet Abdeljawad; Habib Ur Rehman; Azhar Hussain; Saman Yaqoob; Thabet Abdeljawad; Habib Ur Rehman

doi:10.3934/math.2021127

AIMS Mathematics

2021, Volume 6, Issue 3: 2078-2093. doi: 10.3934/math.2021127

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Research article

Multivalued weakly Picard operators via simulation functions with application to functional equations

1.
Department of Mathematics, University of Sargodha, Sargodha-40100, Pakistan
2.
Department of Mathematics, University of Gujrat, Sub-Campus Mandi Bahauddin, Pakistan
3.
Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia
4.
Department of Medical Research, China Medical University Taiwan, Taichung, Taiwan
5.
Department of Computer Science and Information Engineering, Asia University, Taichung, Taiwan
6.
Department of Mathematics, King Mongkut University of Technology Thonburi, Bangkok 10140, Thailand

Received: 15 August 2020 Accepted: 07 December 2020 Published: 09 December 2020
MSC : 55M20, 47H10

The aim of this paper is to introduce the notion of Suzuki type multivalued contraction with simulation functions and then to set up some new fixed point and data dependence results for these type of contraction mappings. We produce an example to support our results. Moreover, we present an application to functional equation arising in dynamical system.
- multivalued Picard operator,
- data dependence,
- $\mathcal{Z}$-contraction,
- functional equation,
- dynamical system
Citation: Azhar Hussain, Saman Yaqoob, Thabet Abdeljawad, Habib Ur Rehman. Multivalued weakly Picard operators via simulation functions with application to functional equations[J]. AIMS Mathematics, 2021, 6(3): 2078-2093. doi: 10.3934/math.2021127

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Abstract

The aim of this paper is to introduce the notion of Suzuki type multivalued contraction with simulation functions and then to set up some new fixed point and data dependence results for these type of contraction mappings. We produce an example to support our results. Moreover, we present an application to functional equation arising in dynamical system.

References

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