Fixed point theorem on functional intervals for sum of two operators and application in ODEs

	Fixed point theorem on functional intervals for sum of two operators and application in ODEs
International Journal of Nonlinear Analysis and Applications
مقاله 13، دوره 14، شماره 10، دی 2023، صفحه 127-137 اصل مقاله (375.92 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.28477.3910
نویسندگان
Lydia Bouchal^* ؛ Karima Mebarki
Laboratory of Applied Mathematics, Faculty of Exact Sciences, University of Bejaia, 06000 Bejaia, Algeria
چکیده
In this paper, we present a generalization of the functional expansion-compression fixed point theorem developed by Avery et al. in [5] to the case of a k-set contraction perturbed by an operator T, where I -T is Lipschitz invertible. The arguments are based upon recent fixed point index theory in cones of Banach spaces. Next, we apply the obtained result to discuss the existence of a nontrivial positive solution to a nonautonomous second order boundary value problem.
کلیدواژه‌ها
Fixed point؛ sum of operators؛ positive solution؛ fixed point index؛ cones
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