Results 61 to 70 of about 30,405 (240)
Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.This article aims to present a new fixed point (FP) result for interpolative Kannan type and Ćirić‐Reich‐Rus type cyclic contractions (CRRTCCs) in dislocated quasi‐rectangular b‐metric spaces. We go through rigorous steps to prove the existence of a unique FP for the stated mapping in the setting of dislocated quasi‐rectangular b‐metric spaces.
Nigussa L. Bayissa +2 more
wiley +1 more source
Electronic Journal of Differential Equations, 2009 We develop a nonlinear Fredholm alternative theory involving k-ball and k-set perturbations of general homeomorphisms and of homeomorphisms that are nonlinear Fredholm maps of index zero.
Petronije S. Milojevic
doaj
Solution, extensions and applications of the Schauder's 54th problem in Scottish book [PDF]
Mathematica Moravica, 2016 This paper presents the Axiom of Infinite Choice: Given any set P, there exist at least countable choice functions or there exist at least finite choice functions. The author continues herein with the further study of two papers of the Axiom of Choice in
Tasković Milan R.
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Diffusive Resource–Consumer Dynamics With the Simplest Learning Mechanism and Nonlocal Memory Usage
Mathematical Methods in the Applied Sciences, Volume 48, Issue 18, Page 16433-16444, December 2025.ABSTRACT To describe cognitive consumers' movement, we study a diffusive resource–consumer model with nonlocal memory usage described by a system of parabolic equations, which is coupled with spatial memory dynamics described by a linear learning equation.
Qigang Deng, Ranchao Wu, Hao Wang
wiley +1 more source
Fredholm conditions on non-compact manifolds: theory and examples
, 2017 We give explicit Fredholm conditions for classes of pseudodifferential operators on suitable singular and non-compact spaces. In particular, we include a "user's guide" to Fredholm conditions on particular classes of manifolds including asymptotically ...
Carvalho, Catarina +2 more
core +1 more source
Fredholm theory in ordered Banach algebras [PDF]
Quaestiones Mathematicae, 2016 This paper illustrates some initial steps taken in the effort of unifying the theory of positivity in ordered Banach algebas (OBAs) with the general Fred-holm theory in Banach algebras. We introduce here upper Weyl and upper Browder elements in an OBA relative to an arbitrary Banach algebra homomorphism and investigate the spectra corresponding to the ...
Ronalda Benjamin, Sonja Mouton
openaire +3 more sources
Floer theory for the variation operator of an isolated singularity
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract The variation operator in singularity theory maps relative homology cycles to compact cycles in the Milnor fiber using the monodromy. We construct its symplectic analog for an isolated singularity. We define the monodromy Lagrangian Floer cohomology, which provides categorifications of the standard theorems on the variation operator and the ...
Hanwool Bae +3 more
wiley +1 more source
Gradient Crystal Plasticity Modeling of Laminate Microstructures
GAMM-Mitteilungen, Volume 48, Issue 4, November 2025.Abstract Metallic materials may show an ultra‐fine lamellar morphology leading to desirable macroscopic mechanical properties. In this paper, an analytical method for modeling the size‐dependent mechanical behavior of material systems with lamellar microstructure is proposed.
Claudius Klein, Thomas Böhlke
wiley +1 more source
Journal of Inequalities and Applications, 2008 The theory of measures of noncompactness has many applications on topology, functional analysis, and operator theory. In this paper, we consider one axiomatic approach to this notion which includes the most important classical definitions.
Dehici Abdelkader +3 more
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 15194-15218, 15 November 2025.ABSTRACT In recent years, the study of sequential fractional differential equations (SFDEs) has become increasingly important in multiple domains of science and engineering. This work investigates a new class of boundary value problems (BVPs) characterized by nonlocal closed boundary conditions involving SFDEs with Caputo fractional integral operators.
Saud Fahad Aldosary +2 more
wiley +1 more source