Results 21 to 30 of about 123,234 (185)
Common fixed point results on modular ℱ-metric spaces [PDF]
AIP Conference Proceedings, 2019 Jleli and Samet[1] introduced a new concept, named a ℱ-metric space, as a generalization of the notion of metric space. We define new generalization of modular metric space as modular ℱ-metric space. We compare the topology produced by modular metric and by modular ℱ-metric, then cover some useful properties of this topology for fixed point theorems ...
Manav, Nesrin, Türkoğlu, Duran
openaire +4 more sources
Irish Mathematical Society Bulletin, 2017 We give a short introduction to the theory of modular metric spaces. This is a corrected version of the paper [1], which had some errors. We are grateful to V. V. Chistyakov for bringing these to our attention.
Abobaker, Hana, Ryan, Raymond A.
openaire +2 more sources
Generalized modular fractal spaces and fixed point theorems
Advances in Difference Equations, 2021 In this article, we introduce a new concept of Hausdorff distance through generalized modular metric on nonempty compact subsets and study some topological properties of it.
Alireza Alihajimohammad, Reza Saadati
doaj +1 more source
Heliyon, 2020 We prove some theorems on the existence and uniqueness of fixed point for Reich-type contraction mappings and Geraghty-type mappings satisfying rational inequalities in modular metric spaces.
Godwin Amechi Okeke +2 more
doaj +1 more source
Partition Functions, Duality, and the Tube Metric [PDF]
, 1997 The partition function of type IIA and B strings on R^6xK3, in the T^4/Z_2 orbifold limit, is explicitly computed as a modular invariant sum over spin strutures required by perturbative unitarity in order to extend the analysis to include type II strings
Antoniadis +24 more
core +2 more sources
Convexity and boundedness relaxation for fixed point theorems in modular spaces
Applied General Topology, 2021 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
The modular geometry of Random Regge Triangulations [PDF]
, 2002 We show that the introduction of triangulations with variable connectivity and fluctuating egde-lengths (Random Regge Triangulations) allows for a relatively simple and direct analyisis of the modular properties of 2 dimensional simplicial quantum ...
A Marzuoli +19 more
core +4 more sources
One-Local Retract and Common Fixed Point in Modular Metric Spaces
Abstract and Applied Analysis, 2013 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
Lectures on BCOV holomorphic anomaly equations [PDF]
, 2015 The present article surveys some mathematical aspects of the BCOV holomorphic anomaly equations introduced by Bershadsky, Cecotti, Ooguri and Vafa. It grew from a series of lectures the authors gave at the Fields Institute in the Thematic Program of ...
A. Popa +18 more
core +1 more source
Journal of Mathematics, 2021 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