Abstract
In this work, we develop a fixed point index theory for the sum of $k$-set contractions and expansive mappings with constant $h> 1$ when $0\le k< h-1$ as well as in the limit case $k=h-1$. After computing this new index, several fixed point theorems and recent results are derived, including Krasnosel'skii type theorems. Two examples of application illustrate the theoretical results.
Citation
Smaïl Djebali. Karima Mebarki. "Fixed point index theory for perturbation of expansive mappings by $k$-set contractions." Topol. Methods Nonlinear Anal. 54 (2A) 613 - 640, 2019. https://doi.org/10.12775/TMNA.2019.055