ON LARGE <i>S</i>-SIMULATION FUNCTIONS AND LARGE $ \mathcal{Z}_S$-CONTRACTIONS WITH THE LINK TO PICARD MAPPINGS

Chirasak Mongkolkeha; Wutiphol Sintunavarat

doi:10.11948/20220508

2024 Volume 14 Issue 6

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Chirasak Mongkolkeha, Wutiphol Sintunavarat. ON LARGE S-SIMULATION FUNCTIONS AND LARGE $ \mathcal{Z}_S$-CONTRACTIONS WITH THE LINK TO PICARD MAPPINGS[J]. Journal of Applied Analysis & Computation, 2024, 14(6): 3046-3060. doi: 10.11948/20220508

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Chirasak Mongkolkeha, Wutiphol Sintunavarat. ON LARGE S-SIMULATION FUNCTIONS AND LARGE $ \mathcal{Z}_S$-CONTRACTIONS WITH THE LINK TO PICARD MAPPINGS[J]. Journal of Applied Analysis & Computation, 2024, 14(6): 3046-3060. doi: 10.11948/20220508

ON LARGE S-SIMULATION FUNCTIONS AND LARGE $ \mathcal{Z}_S$-CONTRACTIONS WITH THE LINK TO PICARD MAPPINGS

Chirasak Mongkolkeha^1,,
Wutiphol Sintunavarat^2,3, ,

1.
Department of Mathematics Statistics and Computer Sciences, Faculty of Liberal Arts and Sciences, Kasetsart University, Kamphaeng-Saen Campus, Nakhonpathom 73140, Thailand
2.
Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathum Thani 12120, Thailand
3.
Thammasat University Research Unit in Fixed Points and Optimization, Pathum Thani 12120, Thailand

Author Bio: Email: chirasak.m@ku.th(C. Mongkolkeha)
Corresponding author: Email: wutiphol@mathstat.sci.tu.ac.th(W. Sintunavarat)

Abstract

Abstract

The main aim of this paper is to introduce new ideas, called large $s$-simulation functions and large $\mathcal{Z}_s$-contractions, which are inspired by the broad utility of applications of fixed point results for the enlarged class of nonlinear mappings. Illustrative examples supporting the new idea of large $s$-simulation functions are presented. Moreover, fixed point results for large $\mathcal{Z}_s$-contractions are investigated.
- Large s-simulation functions /
- Picard mappings /
- s-simulation functions
MSC: 47H09, 47H10

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References

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