Results 51 to 60 of about 1,320,516 (202)
Reduced Assumption in the Banach Contraction Principle [PDF]
Journal of Mathematics and Statistics, 2006 In this study we introduce a novel class of normed spaces called weakly Cauchy normed spaces not necessarily complete in general and proved the existence of a fixed point of contraction mappings in these spaces, this is weaker assumption than the completeness assumption imposed on the given normed space on the other side the contraction condition valid
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Geometric spectral properties of electromagnetic waveguides
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.Abstract We consider a homogeneous, isotropic electromagnetic waveguide with simply connected cross‐section embedded in a perfect conductor. We investigate the influence of geometric deformations, namely bending and twisting, on the real spectrum of the associated self‐adjoint Maxwell operator. We first establish sufficient conditions on the asymptotic
Philippe Briet +3 more
wiley +1 more source
A Dislocated Quasi-Normed Space and Its Completeness for A Fixed Point Theorem
مجلة بغداد للعلومA concept of a dislocated quasi-normed space is introduced in this paper which is a spatial case of the concept of a quasi-normed space and related to the notion of a dislocated quasi-metric space.
Jawad Kadhim K. Al-Delfi
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Fixed point theorems for F-expanding mappings
Fixed Point Theory and Applications, 2017 Recently, Wardowski (Fixed Point Theory Appl. 2012:94, 2012) introduced a new concept of F-contraction and proved a fixed point theorem which generalizes the Banach contraction principle.
Jarosław Górnicki
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Food Science &Nutrition, Volume 14, Issue 9, September 2026.This review demonstrates essential quality assessment metrics for monitoring product stability and identifying the major causes of post‐harvest deterioration of seaweed. It evaluates common and advanced preservation techniques for their ability to extend shelf life while maintaining nutritional value, microbiological safety, and sensory quality.
Shanjida Islam Shikha +2 more
wiley +1 more source
On an abstract nonlinear functional second order Volterra integrodifferential equation
Ratio MathematicaIn this paper, we prove the existence, uniqueness and boundedness of solutions of a nonlinear functional second order Volterra integrodifferential equation in a general Banach space.
Pramod M Dhakane
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Fractal–fractional model for analysis of tuberculosis infection using Ethiopia incidence data
Quantitative Biology, Volume 14, Issue 3, September 2026.Abstract In this study, a fractional‐order SEIuITR $SE{I}_{u}ITR$ model was proposed to examine the transmission of tuberculosis (TB) in the community. The proposed model was rigorously examined for well‐posedness. The basic reproduction number was also derived, and the disease‐free equilibrium was obtained.
Kumama Regassa Cheneke +2 more
wiley +1 more source
Some cohomological aspects of the Banach fixed point principle [PDF]
, 2011 summary:Let $T\colon X\to X$ be a continuous selfmap of a compact metrizable space $X$. We prove the equivalence of the following two statements: (1) The mapping $T$ is a Banach contraction relative to some compatible metric on $X$.
Janoš, Ludvík
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Comprehensive Reviews in Food Science and Food Safety, Volume 25, Issue 5, September 2026.ABSTRACT Low water activity ingredients, including dried fruits, vegetables, herbs, and spices, are widely used in ready‐to‐eat (RTE) and non‐RTE foods. Although low water activity limits microbial growth, bacterial pathogens can survive for extended periods in these products.
Heidy M. W. den Besten +7 more
wiley +1 more source
Extension of Banach Cotraction Principle for Cone Metric space [PDF]
, 2018 In this paper an extension of Banach contraction principle is introdues for the rational contraction in cone metric space.
Shrivastava, Rajesh, Khare, Swati
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