Results 41 to 50 of about 1,267,876 (189)
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 The manuscript is primarily concerned with the new existence results for fractional neutral integro-differential equation (FNIDE) with nonlocal conditions (NLCs) in Banach spaces.
Mallika D. +3 more
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New Fixed Point Theorems for θ−ω−Contraction on λ,μ-Generalized Metric Spaces
Journal of Function Spaces, 2023 In this paper, we consider a new extension of the Banach contraction principle, which is called the θ−ω−contraction inspired by the concept of θ−contraction in λ,μ-generalized metric spaces and to study the existence and uniqueness of fixed point for the
Abdelkarim Kari, Ahmed Al-Rawashdeh
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Equivalent results to Banach’s contraction principle
Annals of Functional Analysis, 2017 We present two versions of the well-known Banach contraction principle: one in the context of extended metric spaces for which the distance mapping is allowed to be infinite, the other in the context of metric spaces endowed with a compatible binary relation.
Berzig, Maher +2 more
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Inverse problems for semilinear elliptic PDE with a general nonlinearity a(x,u)$a(x,u)$
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract This article studies the inverse problem of recovering a nonlinearity in an elliptic equation Δu+a(x,u)=0$\Delta u + a(x,u) = 0$ from boundary measurements of solutions. Previous results based on first‐order linearization achieve this under a sign condition on ∂ua(x,u)$\partial _u a(x,u)$, and results based on higher order linearization ...
David Johansson +2 more
wiley +1 more source
Generalization of Banach Contraction Principle in Two Directions [PDF]
Journal of Mathematics and Statistics, 2007 We showed that the generalized contraction mapping defined on a closed convex subset of a weakly Cauchy normed space has a unique fixed point. Moreover, the sequence of iterates of any element in the domain of the given mapping is converging strongly to the fixed point of such a mapping.
E. El-Shobaky +2 more
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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
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
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Fixed Points of Weakly Contractive Maps and Boundedness of Orbits
Fixed Point Theory and Applications, 2007 We discuss weakly contractive maps on complete metric spaces. Following three methods of generalizing the Banach contraction principle, we obtain some fixed point theorems under some relatively weaker and more general contractive conditions.
Jie-Hua Mai, Xin-He Liu
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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
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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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