Fixed point results for generalized contractions in gauge spaces and applications
From MaRDI portal
Publication:4501084
DOI10.1090/S0002-9939-00-05838-XzbMath0966.47040OpenAlexW1979049838MaRDI QIDQ4501084
Publication date: 3 September 2000
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05838-x
Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Applications of operator theory to differential and integral equations (47N20) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19)
Related Items
Hausdorff quasi-distances, periodic and fixed points for Nadler type set-valued contractions in quasi-gauge spaces, Multivalued and random version of Perov fixed point theorem in generalized gauge spaces, Some periodic and fixed point theorems on quasi-\(b\)-gauge spaces, Fixed point theorem for mappings contracting perimeters of triangles, Set-valued contractions and fixed points, Unnamed Item, Infinite system of differential equations in some \(BK\) spaces, Quasigauge spaces with generalized quasipseudodistances and periodic points of dissipative set-valued dynamic systems, Fixed-point theorems in complete gauge spaces and applications to second-order nonlinear initial-value problems, Nonlinear dynamics, fixed points and coupled fixed points in generalized gauge spaces with applications to a system of integral equations, Fixed point theorems for set-valued \(\Phi\)-generalized contractions on gauge spaces, A generalized θ-contraction and related fixed point theorems, Leray-Schauder results for multivalued nonlinear contractions defined on closed subsets of a Fréchet space, Existence principle for advanced integral equations on semiline, A new generalization of the Banach contraction principle, Set-valued dynamic systems and random iterations of set-valued weaker contractions in uniform spaces, Further generalizations of the Banach contraction principle, Solvability of infinite systems of differential equations in Banach sequence spaces, Periodic and fixed points for Caristi-type \(G\)-contractions in extended \(b\)-gauge spaces, On vector valued pseudo metrics and applications, Existence and data dependence of fixed points for multivalued operators on gauge spaces, A note on some fundamental results in complete gauge spaces and application, Existence of solutions for infinite systems of differential equations by densifiability techniques
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Charakterisierungen zeilenendlicher Matrizen mit abzählbarem Spektrum
- Leray-Schauder type results for multivalued contractions
- Fixed points of uniform contractions
- Multi-valued contraction mappings
- Fixed point theorems for nonexpansive mappings in linear topological spaces
- Fixed points and stability for a sum of two operators in locally convex spaces
- On ordinary differential equations in locally convex spaces
- On Lipschitz conditions for ordinary differential equations in Fréchet spaces
- An Approach to Fixed-Point Theorems on Uniform Spaces
- A leray-schauder type theorem and applications to boundary value problems for neutral equations
