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In the present paper we extend some recent results of R. Filippucci, P. Pucci and Cs. Varga to continuous functionals. As an application we prove the existence of at least three different solutions of a quasilinear eigenvalue problem, for every $\lambda$ in some interval, which solutions are invariants by Schwarz symmetrization.

In this paper we establish and prove a generalized variational principle for b-metric spaces. As a consequence, we obtain a weak Zhong-type variational principle in b-metric spaces. We show the applicability of the mentioned generalized variational principle by presenting a Caristi-type fixed point theorem and an extension of the main result for bifunctions - both of them stated in b-metric spaces.

In the increasingly researched field of gamification, that is the application of the game design elements in no game contexts, one of the most used techniques is the use of digital badges. Through this paper, we conducted a literature review on the use and effectiveness of badges. We include other literature reviews, empirical case studies, and application reports. This analysis shows the widespread use, the different types and specialized nature of digital badges throughout the private and public sectors.