Results 41 to 50 of about 453 (75)
A New Fixed‐Point Framework for Nonexpansive and Averaged Mappings in Normed GE‐Algebras
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we develop a systematic framework for studying fixed‐point theory in the setting of normed GE‐algebras. Building on the GE‐norm, we introduce and analyze nonexpansive mappings, α‐averaged mappings, and enriched contractions with respect to the quasimetric induced by the GE‐norm.
Prashant Patel +3 more
wiley +1 more source
A New Class of Contraction in b‐Metric Spaces and Applications
Abstract and Applied Analysis, Volume 2017, Issue 1, 2017., 2017 A novel class of α‐β‐contraction for a pair of mappings is introduced in the setting of b‐metric spaces. Existence and uniqueness of coincidence and common fixed points for such kind of mappings are investigated. Results are supported with relevant examples. At the end, results are applied to find the solution of an integral equation.
Preeti Kaushik +3 more
wiley +1 more source
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
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
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
On almost duality for Frobenius manifolds
, 2003 We present a universal construction of almost duality for Frobenius manifolds. The analytic setup of this construction is described in details for the case of semisimple Frobenius manifolds.
Dubrovin, Boris
core +3 more sources
Fixed point theory for multivalued
Fixed Point Theory and Applications, 2011 The purpose of this paper is to present a fixed point theory for multivalued φ-contractions using the following concepts: fixed points, strict fixed points, periodic points, strict periodic points, multivalued Picard and weakly Picard operators ...
Lazăr Vasile
doaj
Geometric quantization via SYZ transforms
, 2020 The so-called quantization problem in geometric quantization is asking whether the space of wave functions is independent of the choice of polarization. In this paper, we apply SYZ transforms to solve the quantization problem in two cases: (1) semi-flat ...
Chan, Kwokwai, Suen, Yat-Hin
core +1 more source