@article{Zhou_Zhang_2023, title={$\alpha$-$(h,e)$-convex operators and applications for Riemann-Liouville fractional differential equations}, volume={61}, url={https://apcz.umk.pl/TMNA/article/view/42811}, DOI={10.12775/TMNA.2022.014}, abstractNote={In this paper, we consider a class of $\alpha$-$(h,e)$-convex operators defined in set $P_{h,e}$ and applications with $\alpha> 1$. Without assuming the operator
to be completely continuous or compact, by employing cone theory and monotone iterative technique, we not only obtain the existence and uniqueness of fixed point
of $\alpha$-$(h,e)$-convex operators, but also construct two monotone iterative sequences to approximate the unique fixed point. At last, we investigate the existence-uniqueness of a nontrivial solution for Riemann-Liouville fractional differential equations integral boundary value problems by employing
$\alpha$-$(h,e)$-convex operators fixed point theorem.}, number={2}, journal={Topological Methods in Nonlinear Analysis}, author={Zhou, Bibo and Zhang, Lingling}, year={2023}, month={Feb.}, pages={577–590} }