Results 11 to 20 of about 13,466 (215)
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
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Implicit Contractive Mappings in Modular Metric and Fuzzy Metric Spaces
The Scientific World Journal, 2014 The notion of modular metric spaces being a natural generalization of classical modulars over linear spaces like Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, and Calderon-Lozanovskii spaces was recently introduced.
N. Hussain, P. Salimi
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Some fixed-point theorems for a general class of mappings in modular G-metric spaces [PDF]
Arab Journal of Mathematical Sciences, 2022 Purpose – This paper aims to prove some fixed-point theorems for a general class of mappings in modular G-metric spaces. The results of this paper generalize and extend several known results to modular G-metric spaces, including the results of Mutlu et ...
Godwin Amechi Okeke, Daniel Francis
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On the Lebesgue and Sobolev spaces on a time-scale [PDF]
Opuscula Mathematica, 2019 We consider the generalized Lebesgue and Sobolev spaces on a bounded time-scale. We study the standard properties of these spaces and compare them to the classical known results for the Lebesgue and Sobolev spaces on a bounded interval.
Ewa Skrzypek +1 more
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مجلة بغداد للعلوم, 2021 In this paper, the concept of normalized duality mapping has introduced in real convex modular spaces. Then, some of its properties have shown which allow dealing with results related to the concept of uniformly smooth convex real modular spaces.
Salwa Salman Abed +1 more
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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
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A characterization of convex φ-functions [PDF]
Opuscula Mathematica, 2012 The properties of four elements \((LPFE)\) and \((UPFE)\), introduced by Isac and Persson, have been recently examined in Hilbert spaces, \(L^p\)-spaces and modular spaces. In this paper we prove a new theorem showing that a modular of form \(\rho_{\Phi}(
Bartosz Micherda
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Fixed point theorems in modular G-metric spaces
Journal of Inequalities and Applications, 2021 We prove the existence and uniqueness of fixed points of some generalized contractible operators defined on modular G-metric spaces and also prove the modular G-continuity of such operators.
Godwin Amechi Okeke +3 more
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Property P in modular metric spaces
Vojnotehnički Glasnik, 2022 Introduction/purpose: The aim of this paper is to present the concept of the generalized ∅−weak contractive condition involving various combinations of d(x,y) in modular metric spaces. Methods: Conventional theoretical methods of functional analysis.
Ljiljana Paunović +3 more
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Monotonicity in Modular Function Spaces Equipped with O-norm
Journal of Harbin University of Science and TechnologyModular function spaces are extensions of Lebesgue spaces and Orlicz spaces. We introduce Orlicz norm in Modular function spaces, and study the monotonicity in modular function spaces equipped with O-norm and L-norm.
HU Xuemei, CUI Yunan
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