the purpose of this paper is to obtain necessary and suffcient conditionsfor existence approximate fixed point on geraghty-contraction. in this paper,denitions of approximate -pair fixed point for two maps tα , sα and theirdiameters are given in a metric space.

We study the computation of equilibria of anonymous games, via algorithms that may proceed via a sequence of adaptive queries to the game’s payoff function, assumed to be unknown initially. The general topic we consider is query complexity, that is, how many queries are necessary or sufficient to compute an exact or approximate Nash equilibrium. We show that exact equilibria cannot be found via...

In this paper we analyze symmetries, hidden and commensurability classes of $(\epsilon, d_L)$-twisted knot complements, which are the complements knots that have a sufficiently large number twists in each their twist regions. These can be constructed via long Dehn fillings on fully augmented links complements. We show such no implies there at most two other respective classes. Under mild additi...

Gauging is a general procedure for mapping quantum many-body system with global symmetry to one local gauge symmetry. We consider generalized gauging map that does not enforce at all lattice sites, and show it an isometry on the full input space including charged sectors. apply this convert global-symmetric bulk systems of holographic codes gauge-symmetric systems, vice versa, while preserving ...

Abstract In this paper, approximate Noether and Lie symmetries of 2nd order for Gibbons–Maeda–Garfinkle–Horowitz–Strominger (GMGHS) charged black hole in the Einstein frame are analyzed comprehensively. To explore order, Minkowski spacetime used which forms a 17 dimensional algebra. It is observed that no new symmetry obtained at 1st order. examine GMGHS spacetime, 35 (exact) an algebra sl (6, ...