In this paper we define weak $F$-contractions on a‎ ‎metric space into itself by extending $F$-contractions‎ ‎introduced by D‎. ‎Wardowski (2012) and provide some fixed point‎ ‎results in complete metric spaces and in partially ordered complete ‎generalized metric spaces‎. ‎Some relationships between weak‎ ‎$F$-contractions and $Fi$-contractions are highlighted‎. ‎We also ‎give some application...

Under weak assumptions on the solution concept, I construct an invariant selection across all finite type spaces, in which the types with identical information play the same action. Along the way, I establish an interesting lattice structure for finite type spaces and construct an equilibrium on the space of all finite types.

We generalize the symmetry superalgebras of isometries and geometric Killing spinors on a manifold to include all hidden symmetries generated by in dimensions. show that bilinears produce special Killing–Yano forms conformal forms. After defining Lie algebra structure spinors, we construct operators as generalizations derivative spinor fields. All these constructions together constitute general...

In this work we explore the dynamics of generalized hybrid metric-Palatini theory gravity in weak-field, slow-motion regime. We start by introducing equivalent scalar-tensor representation theory, which contains two scalar degrees freedom, and perform a conformal transformation to Einstein frame. Linear perturbations metric Minkowskian background are then studied for both fields. The effective ...

We prove existence of weak solutions for the fully inhomogeneous, steady generalized Navier–Stokes equations shear-thinning fluids. Our proof is based on theory pseudomonotone operators and Lipschitz truncation method, whose application presented as a general result. approach requires smallness regularity assumption data; we show that this inevitable in framework operators.