Results 71 to 80 of about 123,234 (185)

FIXED POINT THEOREMS FOR MULTIVALUED MAPPINGS IN MODULAR B-METRIC SPACES

Barekeng
This paper explores multivalued mappings in modular b-metric spaces, with particular emphasis on contraction-type mappings. It introduces the concept of a Hausdorff distance adapted to this setting and investigates fixed point theorems associated with ...
Hartono Hartono, Lusi Harini, Afifah Hayati, Syamsudin Mas'ud, Thesa Adi Saputra Yusri, Karyati Karyati, Fitriana Yuli Saptaningtyas   +6 more
doaj   +1 more source

Geometric and analytic quasiconformality in metric measure spaces

, 2011
We prove the equivalence between geometric and analytic definitions of quasiconformality for a homeomorphism $f\colon X\rightarrow Y$ between arbitrary locally finite separable metric measure spaces, assuming no metric hypotheses on either space. When $X$
Williams, Marshall
core  

Meir-Keeler type contractions on modular metric spaces

Filomat, 2018
In this paper we introduce contraction mappings of Meir-Keeler types on modular metric spaces and investigate the existence and uniqueness of their fixed points. We give an example which demonstrates our theoretical results.
Aksoy, Ümit, Karapınar, Erdal, Erhan, İnci M., Rakočević, Vladimir   +3 more
openaire   +3 more sources

Fixed Point Results in Modular b-Metric-like Spaces with an Application

Axioms
In this study, we introduce a new space called the modular b-metric-like space. We investigate some properties of this new concept and define notions of ξ-convergence, ξ-Cauchy sequence, ξ-completeness and ξ-contraction.
Nizamettin Ufuk Bostan, Banu Pazar Varol
doaj   +1 more source

Modular curves, C* algebras, and chaotic cosmology [PDF]

, 2003
We make some brief remarks on the relation of the mixmaster universe model of chaotic cosmology to the geometry of modular curves and to noncommutative geometry.
Marcolli, Matilde
core   +1 more source

Static Domain Walls in N=1 Supergravity

, 1992
We study supersymmetric domain walls in N=1 supergravity theories, including those with modular-invariant superpotentials arising in superstring compactifications. Such domain walls are shown to saturate the Bogomol'nyi bound of wall energy per unit area.
Abraham, Binétruy, Bogomol'nyi, Callan, Chun, Coleman, Cvetič, Cvetič, Cvetič, Dabholkar, Derendinger, Deser, Dixon, Duff, Duff, Duff, Duff, Duff, Duff, Fendley, Ferrara, Ferrara, Font, Frampton, Gibbons, Greene, Hull, Hull, Ipser, Lauer, Lerche, Mirjam Cvetič, Misner, Nester, Nilles, Ovrut, Ovrut, Rey, Rey, Rey, Rey, Schoeneberg, Soo-Jong Rey, Stephen Griffies, Strominger, Strominger, Vilenkin, Wald, Weinberg, Wess, Witten, Witten   +51 more
core   +1 more source

On some non-linear contractions in modular metric spaces

Filomat, 2020
Motivated by the exciting notion of modular metric spaces, in this manuscript, we positively answer an open question posed by Mitrovic et al. [Ital. J. Pure Appl. Math., 41 (2019), 679-690] on the existence of fixed points of Hardy-Rogers contractions. Moreover, in the said setting, we conceive the common fixed point theorem of Jungck.
Karmakar, Surajit, Dey, Lakshmi Kanta, Chanda, Ankush, Mitrović, Zoran D.   +3 more
openaire   +2 more sources

Modular forms and hierarchical Yukawa couplings in heterotic Calabi-Yau compactifications

Journal of High Energy Physics
We study the modular symmetry in heterotic string theory on Calabi-Yau threefolds. In particular, we examine whether moduli-dependent holomorphic Yukawa couplings are described by modular forms in the context of heterotic string theory with standard ...
Keiya Ishiguro, Tatsuo Kobayashi, Satsuki Nishimura, Hajime Otsuka   +3 more
doaj   +1 more source

S-duality in Abelian gauge theory revisited

, 2011
Definition of the partition function of U(1) gauge theory is extended to a class of four-manifolds containing all compact spaces and certain asymptotically locally flat (ALF) ones including the multi-Taub--NUT spaces. The partition function is calculated
Besse, Cherkis, Etesi, Etesi, Etesi, Etesi, Etesi, Gibbons, Gilkey, Gábor Etesi, Hausel, Hillman, Knapp, Montonen, Olive, Rosenberg, Segal, Sen, Tan, Tan, Taylor, Vafa, Witten, Witten, Yau, Ákos Nagy   +25 more
core   +1 more source

What grid cells convey about rat location [PDF]

, 2008
We characterize the relationship between the simultaneously recorded quantities of rodent grid cell firing and the position of the rat. The formalization reveals various properties of grid cell activity when considered as a neural code for representing ...
Brookings, Ted, Burak, Yoram, Fiete, Ila R.   +2 more
core