Results 81 to 90 of about 1,320,516 (202)

A Topological Banach Fixed Point Theorem for Compact Hausdorff Spaces

, 1994
We propose an analogue of the Banach contraction principle for connected compact Hausdorff spaces. We define a J-contraction of a connected compact Hausdorff space.
Winfried Just, Stephen Watson, Juris Steprans   +2 more
core   +1 more source

Null projections and noncommutative function theory in operator algebras

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract We study projections in the bidual of a C∗$\mathrm{C}^*$‐algebra B$B$ that are null with respect to a subalgebra A$A$, that is, projections p∈B∗∗$p\in B^{**}$ satisfying |φ|(p)=0$|\varphi |(p)=0$ for every φ∈B∗$\varphi \in B^*$ annihilating A$A$. In the separable case, A$A$‐null projections are precisely the peak projections in the bidual of A$
David P. Blecher, Raphaël Clouâtre
wiley   +1 more source

Existence Results for a Class of Fractional Differential Equations with Periodic Boundary Value Conditions and with Delay

Abstract and Applied Analysis, 2013
We discuss the existence and uniqueness of solution for two types of fractional order ordinary and delay differential equations. Fixed point theorems are the main tool used here to establish the existence and uniqueness results.
Hadi Karami, Azizollah Babakhani, Dumitru Baleanu   +2 more
doaj   +1 more source

A general theory of inverse welfare functions

Theoretical Economics, Volume 21, Issue 3, Page 973-1018, July 2026.
This paper develops a general theory to recover the inverse welfare function that rationalizes a given tax schedule as optimal. Our theory allows for complex environments including the presence of multidimensional tax schedules, bunching/jumping behavior, optimization frictions, general equilibrium effects, and externalities.
Katy Bergstrom, William Dodds
wiley   +1 more source

Banach Contraction Principle Method (BCPM) for solving Sine Gordon equation / Nurain Nabila Hamzah [PDF]

, 2023
In this study, the Banach Contraction Principle method (BCPM) is used to solve the Sine Gordon equation (SG). The Sine Gordon equation is a nonlinear partial differential equation which describes in solitary waves in Physics and Engineering.
Hamzah, Nurain Nabila
core  

Characterization of Multiplicative Metric Completeness

International Journal of Analysis and Applications, 2016
We established fixed point theorems in multiplicative metric spaces. The obtained results generalize Banach contraction principle in multiplicative metric spaces and also characterize completeness of the underlying multiplicative metric space.
Badshshah e Romer, Muhammad Sarwar
doaj   +2 more sources

Nadler mappings in cone b-metric spaces over Banach algebras

, 2019
In this study we first define the concept of Nadler type contraction in the setting of H-cone b-metric space with respect to cone b-metric spaces over Banach algebras.
Özavşar, Muttalip
core   +1 more source

C* -algebra-valued Sb-metric spaces and applications to integral equations [PDF]

AUT Journal of Mathematics and Computing
We first introduce the concept of $C^{*}$-algebra-valued $S_{b}$-metric space, then we prove Banach contraction principle in this space. Finally, existence and uniqueness results for one type of integral equation is discussed.
Seyede Samira Razavi, Hashem Parvaneh Masiha   +1 more
doaj   +1 more source

On the fractional perturbed neutral integro-differential systems via deformable derivatives: an existence study

Boundary Value Problems
In this paper, we provide some appropriate conditions for the existence of solutions for a perturbed fractional neutral integro-differential system under the deformable derivative in a Banach space.
R. Sreedharan, S. Raja Balachandar, R. Udhayakumar, Sina Etemad, İbrahim Avcı, Shahram Rezapour   +5 more
doaj   +1 more source

On the contraction mapping

, 2000
In this paper, we investigate a modification of the principle contraction mapping for the one defined in the E-Banach space. Also, we suggested an approximation method for the solution of the nonlinear operator equation.
Simsek, H, Yildiz, B
core   +1 more source