Results 41 to 50 of about 449 (81)
Analysis of a Radiotherapy Model for Brain Tumors
Studies in Applied Mathematics, Volume 155, Issue 1, July 2025.ABSTRACT In this work, we focus on the analytical and numerical study of a mathematical model for brain tumors undergoing radiotherapy treatment. Under certain assumptions regarding the given data in the model, we prove the existence and uniqueness of a weak nonnegative (biologically relevant) solution.
Marina Chugunova +3 more
wiley +1 more source
End Point Results in Metric Spaces Endowed with a Graph
Journal of Mathematics, Volume 2016, Issue 1, 2016., 2016 We introduce the notion of end point of multivalued mappings in the setting of metric space endowed with a graph and prove some existence results in this context. The mappings are assumed to satisfy certain generalized multivalued almost G‐contractive type inequalities.
Binayak S. Choudhury +3 more
wiley +1 more source
Self-attracting self-avoiding walk [PDF]
, 2018 This article is concerned with self-avoiding walks (SAW) on $\mathbb{Z}^{d}$ that are subject to a self-attraction. The attraction, which rewards instances of adjacent parallel edges, introduces difficulties that are not present in ordinary SAW. Ueltschi
Hammond, Alan, Helmuth, Tyler
core +3 more sources
Journal of Mathematics, Volume 2024, Issue 1, 2024.In this paper, we study a second‐order differential inclusion under boundary conditions governed by maximal monotone multivalued operators. These boundary conditions incorporate the classical Dirichlet, Neumann, and Sturm–Liouville problems. Our method of study combines the method of lower and upper solutions, the analysis of multivalued functions, and
Droh Arsène Béhi +3 more
wiley +1 more source
Stability of Fixed Point Sets of a Class of Multivalued Nonlinear Contractions
Journal of Mathematics, Volume 2015, Issue 1, 2015., 2015 We consider a problem of stability of fixed point sets for a sequence of multivalued mappings defined on a metric space converging to a limit function where the convergence is with respect to the Pompeiu‐Hausdorff distance. The members of the sequence are assumed to be multivalued almost contractions.
Binayak S. Choudhury +2 more
wiley +1 more source
Two New Types of Fixed Point Theorems in Complete Metric Spaces
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 We introduce two new types of fixed point theorems in the collection of multivalued and single‐valued mappings in complete metric spaces.
Farshid Khojasteh +3 more
wiley +1 more source
On a general metric condition in fixed point theory [PDF]
, 2022 The purpose of this talk is to present some new fixed point results for singlevalued and multivalued orbital (graph) contractions in complete metric spaces.
Adrian, Petrusel
core
Vector-valued metrics, fixed points and coupled fixed points for nonlinear operators [PDF]
, 2013 In this paper, we will present fixed point theorems for singlevalued and multivalued operators in spaces endowed with vector-valued metrics, as well as a Gnana Bhaskar-Lakshmikantham-type theorem for the coupled fixed point problem, associated to a pair ...
Adrian Petruşel +2 more
core +1 more source
The Theory of Reich's Fixed Point Theorem for Multivalued Operators
Fixed Point Theory and Applications, 2010 The purpose of this paper is to present a theory of Reich's fixed point theorem for multivalued operators in terms of fixed points, strict fixed points, multivalued weakly Picard operators, multivalued Picard operators, data dependence of the fixed ...
Moţ Ghiocel +3 more
doaj
Well-posedness via Monotonicity. An Overview
, 2014 The idea of monotonicity (or positive-definiteness in the linear case) is shown to be the central theme of the solution theories associated with problems of mathematical physics.
Picard, Rainer +2 more
core +1 more source