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Relation theoretic results via simulation function with applications | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 147، دوره 13، شماره 1، خرداد 2022، صفحه 1769-1783 اصل مقاله (529.44 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.21036.2224 | ||
| نویسندگان | ||
| Swati Antal* 1؛ Anita Tomar2؛ U.C. Gairola3 | ||
| 1Department of Mathematics H. N. B. Garhwal University, BGR Campus Pauri Garhwal-246001 Uttarakhand, India | ||
| 2Goverment Degree College Thatyur (Tehri Garhwal) Uttarakhand, India | ||
| 3Department of Mathematics, H.N.B. Garhwal university, Pauri Campus, Uttarakhand | ||
| تاریخ دریافت: 13 مرداد 1399، تاریخ پذیرش: 17 آبان 1400 | ||
| چکیده | ||
| We introduce Ciric type $ \mathcal{Z}_\mathcal{R} $-contraction to investigate the existence of a single fixed point under a binary relation. In the sequel, we demonstrate that a variety of contractions are obtained as consequences of our contraction. Also, we provide illustrative examples to demonstrate the significance of Ciric type $\mathcal{Z}_\mathcal{R} $-contraction in the existence of fixed point for discontinuous map via binary relation. The paper is concluded by applications to solve an integral equation and a nonlinear matrix equation. | ||
| کلیدواژهها | ||
| Binary relation؛ transitive relation؛ Ciric type $\mathcal{Z}_\mathcal{R} $-contraction؛ $\mathcal{R} $-continuity | ||
| مراجع | ||
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