Nonresonance impulsive higher order functional nonconvex-valued differential inclusions

In this paper, the authors investigate the existence of solutions for nonresonance impulsive higher order functional differential inclusions in Banach spaces with nonconvex valued right hand side. They present two results. In the first one, they rely on a fixed point theorem for contraction multivalued maps due to Covitz and Nadler, and for the second one, they use Schaefer's fixed point theorem combined with lower semi-continuous multivalued operators with decomposable values

Fuzzy b-metric spaces : fixed point results for psi-contraction correspondences and their application

In this paper we introduce the concepts of ψ-contraction and monotone ψ-contraction correspondence in “fuzzy b-metric spaces” and obtain fixed point results for these contractive mappings. The obtained results generalize some existing ones in fuzzy metric spaces and “fuzzy b-metric spaces”. Further we address an open problem in b-metric and “fuzzy b-metric spaces”. To elaborate the results obtained herein we provide an example that shows the usability of the obtained results.http://www.mdpi.com/journal/axiomspm2020Mathematics and Applied Mathematic

Fixed point theorems of Perov type

In this dissertation is introduced a new class of contractions in the setting of cone metric space, both solid and normal, by including an operator as a contractive constant. Some wellknown fixed point theorems are improved and obtained results generalize, Banach, Perov, Ćirić and Fisher theorem, among others. Common fixed point problem for a pair or a sequence of mappings is studied from a different point of view. Wide range of applications is corroborated with numerous examples