Khantwal, Deepak, Aneja, Surbhi, Prasad, Gopi, Joshi, B. C., Gairola, U.C.. (1401). Multivalued relation-theoretic graph contraction principle with applications. هنرهای کاربردی, 13(2), 2961-2971. doi: 10.22075/ijnaa.2022.22536.2381
Deepak Khantwal; Surbhi Aneja; Gopi Prasad; B. C. Joshi; U.C. Gairola. "Multivalued relation-theoretic graph contraction principle with applications". هنرهای کاربردی, 13, 2, 1401, 2961-2971. doi: 10.22075/ijnaa.2022.22536.2381
Khantwal, Deepak, Aneja, Surbhi, Prasad, Gopi, Joshi, B. C., Gairola, U.C.. (1401). 'Multivalued relation-theoretic graph contraction principle with applications', هنرهای کاربردی, 13(2), pp. 2961-2971. doi: 10.22075/ijnaa.2022.22536.2381
Khantwal, Deepak, Aneja, Surbhi, Prasad, Gopi, Joshi, B. C., Gairola, U.C.. Multivalued relation-theoretic graph contraction principle with applications. هنرهای کاربردی, 1401; 13(2): 2961-2971. doi: 10.22075/ijnaa.2022.22536.2381

Multivalued relation-theoretic graph contraction principle with applications

International Journal of Nonlinear Analysis and Applications
مقاله 237، دوره 13، شماره 2، مهر 2022، صفحه 2961-2971    اصل مقاله (400.37 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.22536.2381
نویسندگان
Deepak Khantwal* 1؛ Surbhi Aneja2؛ Gopi Prasad3؛ B. C. Joshi4؛ U.C. Gairola5
1Department of Mathematics, Graphic Era Hill University, Uttarakhand, India
2Government Degree college, Purwala Dogi, Uttarakhand, India
3Department of Mathematics, HNB Garhwal University, Srinagar(Garhwal), Uttarakhand, India
4Department of Mathematics, Graphic Era (Deemed to be) University, Dehradun, Uttarakhand, India
5Department of Mathematics, HNB Garhwal University, Campus Pauri, Uttarakhand, India
چکیده
In this paper, we present a new generalization of Nadler's fixed point theorem for multivalued relation-theoretic graph contractions on relational metric spaces. Our results extend and generalize the result of Shukla and Rodriguez-Lopez (Questiones Mathematiae, (2019) 1-16), Nadler (Pacific J. Math. 30 (1969), 475-488), Alam and Imdad (J. Fixed Point Theory and Appl., 17(4) (2015), 693-702) and many others in the existing literature of fixed point theory. Some illustrative examples are also provided to illustrate the usefulness of our main results. Moreover, we have an application to generalized coupled fixed point problems.
کلیدواژه‌ها
fixed point؛ coupled fixed point؛ contraction mapping؛ binary relation
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