NEW MULTIPLE FIXED POINT THEOREMS FOR SUM OF TWO OPERATORS AND APPLICATION TO A SINGULAR GENERALIZED STURM-LIOUVILLE MULTIPOINT BVP

Authors

  • L. Bouchal Laboratory of Applied Mathematics, Faculty of Exact Sciences, Bejaia University, 6000 Bejaia, Algeria Author
  • K. Mebarki Laboratory of Applied Mathematics, Faculty of Exact Sciences, Bejaia University, 6000 Bejaia, Algeria Author

DOI:

https://doi.org/10.57016/MV-38FENT80

Keywords:

Fixed point, sum of operators, cone, Sturm-Liouville BVP, multiple positive solutions

Subjects:

47H10, 34B10, 34B24

Abstract

In this paper, we develop some new multiple fixed point theorems for the sum of two operators T+S where I−T is Lipschitz invertible and S is a k-set contraction on translate of a cone in a Banach space.  New existence criteria for multiple positive solutions of a singular generalized Sturm-Liouville multipoint boundary value problem are established. The article ends with an illustrative example.

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Published

2023-06-24

Issue

In press

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.