The methods to solve some classes boundary value problems via the results in double controlled metric-like spaces

Authors

  • Nizar Souayah King Saud University, P. Box 145111, Riyadh, 4545, Saudi Arabia; University of Tunis, 92, Boulevard du 9 Avril 1938, Tunis, 1938-1007, Tunisia https://orcid.org/0000-0001-8245-445X
  • Zoran D. Mitrović University of Banja Luka, 1A, Bulevar vojvode Petra Bojovica, Banja Luka, 78000, Bosnia and Herzegovina https://orcid.org/0000-0001-9993-9082

DOI:

https://doi.org/10.21638/spbu10.2025.105

Abstract

In this paper, we present some methods to solve second-order and fourth-order boundary value problems. First, we start by proving some new fixed point theorems in double controlled metric-like space. Further, we introduce the notion of Gζ-contraction in the same space endowed with a graph and obtain a result on fixed points for Gζ-contraction. As an application of the obtained results, we implemented the existence of solutions for some classes of second-order and fourth-order boundary value problems.

Keywords:

differential equations, fixed point, graph theory, double controlled metric-like spaces

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References


References

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Published

2025-05-29

How to Cite

Souayah, N., & Mitrović, Z. D. (2025). The methods to solve some classes boundary value problems via the results in double controlled metric-like spaces: . Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 21(1), 58–74. https://doi.org/10.21638/spbu10.2025.105

Issue

Vol. 21 No. 1 (2025)

Section

Applied Mathematics

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Articles of "Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.