Affiliation:
1. Business College, Shandong University of Political Science and Law, Jinan 250014, Shandong, China
Abstract
This paper studies the existence of fixed points for a class of decreasing operators with parameter in real Banach spaces. The existence theorems of fixed point are obtained as when the parameter is increasing, there will still be a large fixed point. These results have reduced the requirements of convexity, compactness, and lattice structure of spaces. By this new method, the existence of solutions for a class of second-order differential equations with parameter in infinite intervals is studied.
Funder
Chinese National Funding of Social Sciences
Reference18 articles.
1. On J-cone metric spaces over a banach algebra and some fixed-point theorems;J. Fernandez;Advances in Mathematical Physics,2021
2. Some fixed-point theorems over a generalized -metric space;K. Roy;Advances in Mathematical Physics,2021
3. On new χ− fixed point results for λ−χ− contractions in complete metric spaces with applications;B. Mohammadi;Journal of Mathematics,2021
4. Fixed point approach for solving a system of volterra integral equations and lebesgue integral concept in FCM− spaces;H. A. Hammad,2022
5. Impulsive Coupled System of Fractional Differential Equations with Caputo–Katugampola Fuzzy Fractional Derivative