In this paper, we introduce a new concept in set-valued mappings which we have called condition $(UHS)$. Then, adding this condition to a new type of contractive set-valued mappings, recently has been introduced by Amini-Harandi [Fixed and coupled fixed points of a new type contractive set-valued mapping in complete metric spaces, Fixed point theory and applications, 215 (2012)], we prove that ...

The main topic of the session will be topological methods such as degree theory, fixed point index theory, Morse theory, Maslov index, spectral flow, and their applications to various problems in ordinary, functional and partial differential equations, differential-algebraic equations and differential inclusions. Particular emphasis will be given to existence, multiplicity and bifurcation of so...