Results 31 to 40 of about 59,080 (274)
One-Local Retract and Common Fixed Point in Modular Metric Spaces
The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces like Orlicz spaces, were recently introduced.
Afrah A. N. Abdou
doaj +1 more source
Fixed point theorems in a new type of modular metric spaces
In this paper, considering both a modular metric space and a generalized metric space in the sense of Jleli and Samet (Fixed Point Theory Appl. 2015:61, 2015), we introduce a new concept of generalized modular metric space.
Duran Turkoglu, Nesrin Manav
doaj +1 more source
Modular Frobenius manifolds and their invariant flows [PDF]
The space of Frobenius manifolds has a natural involutive symmetry on it: there exists a map $I$ which send a Frobenius manifold to another Frobenius manifold.
Morrison, Ewan K., Strachan, Ian A. B.
core +2 more sources
Dual Feynman transform for modular operads [PDF]
We introduce and study the notion of a dual Feynman transform of a modular operad. This generalizes and gives a conceptual explanation of Kontsevich's dual construction producing graph cohomology classes from a contractible differential graded Frobenius ...
Chuang, Joseph, Lazarev, Andrey
core +5 more sources
Fixed Point Results for Generalized F-Contractions in Modular b-Metric Spaces with Applications
The aim of this paper is to generalize the F -contractive condition in the framework of α - ν -complete modular b-metric spaces. Some results in ordered modular b-metric spaces are also presented.
Vahid Parvaneh +4 more
doaj +1 more source
Fixed Points of Kannan Maps in the Variable Exponent Sequence Spaces ℓp(·)
Kannan maps have inspired a branch of metric fixed point theory devoted to the extension of the classical Banach contraction principle. The study of these maps in modular vector spaces was attempted timidly and was not successful.
Afrah A. N. Abdou +1 more
doaj +1 more source
Convexity and boundedness relaxation for fixed point theorems in modular spaces
Although fixed point theorems in modular spaces have remarkably applied to a wide variety of mathematical problems, these theorems strongly depend on some assumptions which often do not hold in practice or can lead to their reformulations as particular ...
Fatemeh Lael, Samira Shabanian
doaj +1 more source
Modular Inflation Observables and $j$-Inflation Phenomenology [PDF]
Modular inflation is the restriction to two fields of automorphic inflation, a general group based framework for multifield scalar field theories with curved target spaces, which can be parametrized by the comoving curvature perturbation ${\cal R}$ and ...
Schimmrigk, Rolf
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Extending the Presic type operators to modular spaces, we introduce generalised Presic type w-contractive mappings and strongly w-contractive mappings in a modular metric space and establish fixed-point theorems for such contractions in modular spaces ...
Fahad Sameer Alshammari +3 more
doaj +1 more source
This paper is a sequel to [LoMa] where moduli spaces of painted stable curves were introduced and studied. We define the extended modular operad of genus zero, algebras over this operad, and study the formal differential geometric structures related to ...
A Losev +10 more
core +3 more sources

