Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales.

DOI10.4064/FM-3-1-133-181zbMATH Open48.0201.01OpenAlexW1458771408WikidataQ61772961 ScholiaQ61772961MaRDI QIDQ1461571

Stefan Banach

Publication date: 1922

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/213289

Related Items (only showing first 100 items - show all)

Cellular automata and substitutions in topological spaces defined via edit distances ⋮ Some fixed point theorems in generalized parametric metric spaces and applications to ordinary differential equations ⋮ Common fixed point results via \(F\)-contraction on \(C^{\ast}\)-algebra valued metric spaces ⋮ A new approach to Jaggi-Wardowski-type fixed point theorems ⋮ Coupled fixed point theorems of some contraction maps of integral type on cone metric spaces over Banach algebras ⋮ Coincidence point results for \((\phi, \psi)\)-weak contractive mappings in cone 2-metric spaces ⋮ A novel iterative process for numerical reckoning of fixed points via generalized nonlinear mappings with qualitative study ⋮ On existence of solutions for \(\Psi\)-Hilfer type fractional BVP of generalized higher order ⋮ A fixed point theorem for nonself nonlinear contractions in length spaces ⋮ Existence of a fixed point and stability results for contractive mappings on metric spaces with graphs ⋮ Fixed point and periodic point theorems ⋮ Generalised common fixed point theorem for weakly compatible mappings via implicit contractive relation in quasi-partial \(S_{b}\)-metric space with some applications ⋮ Fixed point, its geometry, and application via \(\omega\)-interpolative contraction of Suzuki type mapping ⋮ Best proximity point for generalized cyclic enriched contractions ⋮ Well-posed fixed point results and data dependence problems in controlled metric spaces ⋮ Novel results for separate families of fuzzy-dominated mappings satisfying advanced locally contractions in \(b\)-multiplicative metric spaces with applications ⋮ \(S\)-Pata-type contraction: a new approach to fixed-point theory with an application ⋮ Some fixed point theorems of rational type contraction in \(b\)-metric spaces ⋮ Anderson-accelerated polarization schemes for fast Fourier transform-based computational homogenization ⋮ Multivalued relation-theoretic weak contractions and applications ⋮ Multiplicative \(\mathfrak{m}\)-metric space, fixed point theorems with applications in multiplicative integrals equation and numerical results ⋮ Convergence theorems for generalized \(\alpha\)-nonexpansive mappings in uniformly hyperbolic spaces ⋮ Fixed point theorems for a pair of \((\alpha, \eta, \psi)\)-Geraghty contraction type maps in complete metric spaces ⋮ Fixed point theorems of extension and modified extension \(\alpha\)-\(F\)-contraction on complete metric space ⋮ Control function based coupled and common coupled fixed point theorems in partial metric spaces ⋮ New best proximity point results for different types of nonself proximal contractions with an application ⋮ Some generalizations of Kannan's theorems via \(\sigma_c\)-function and its application ⋮ On fixed point and its application to the spread of infectious diseases model in \(\mathcal{M}_v^b\)-metric space ⋮ A novel Picard-Ishikawa-Green's iterative scheme for solving third-order boundary value problems ⋮ Enriched multi-valued nonexpansive mappings in geodesic spaces ⋮ On control intervals of chaos with Fréchet derivative of certain iterations as discrete dynamical system in Banach spaces ⋮ A contribution to best proximity point theory and an application to partial differential equation ⋮ An approach to the study of fixed point theory in Hilbert space ⋮ Common fixed points via tri-simulation function in metric spaces ⋮ Results on Hardy-Rogers contraction ⋮ Generation of fractals via iterated function system of Kannan contractions in controlled metric space ⋮ Common fixed point theorems for asymptotic regularity in generalized \(b\)-metric spaces ⋮ Modified Geraghty type via simulation functions ⋮ Fixed point theorems for Ćirić's quasicontraction in generalized complex valued metric spaces ⋮ Numerical solution of nonlinear \(m\)-dimensional Fredholm integral equations using iterative Newton-Cotes rules ⋮ Applications of fixed point theory in Hilbert spaces ⋮ Common fixed point theorems for contractive mappings of integral type in \(b\)-metric spaces ⋮ Set-valued mappings: fixed point results with \(\beta \)-function and some applications ⋮ Notes on Knaster-Tarski theorem versus monotone nonexpansive mappings ⋮ The Banach fixed point theorem: selected topics from its hundred-year history ⋮ Common fixed point theorems for several pairs of generalized enriched contractions in a complete generalized convex metric space ⋮ Suzuki-type fixed point theorems in relational metric spaces with applications ⋮ Method of search functionals and its applications in fixed point and coincidence theory ⋮ A novel fixed point approach based on Green's function for solution of fourth order BVPs ⋮ Expansive type mappings in dislocated quasi-metric space with some fixed point results and application ⋮ Some fixed point results on double controlled cone metric spaces ⋮ Fredholm integral equation in composed-cone metric spaces ⋮ A fixed point analysis of fractional dynamics of heat transfer in chaotic fluid layers ⋮ Solution of an integral equation in controlled rectangular metric spaces via weakly contractive mappings ⋮ Fixed point results for \(G\)-\(F\)-contractive mappings of Hardy-Rogers type ⋮ A fixed point theorem for weak \(( \psi - \phi ) \)-Jaggi type contraction ⋮ Best proximity point results for generalized proximal \(Z\)-contraction mappings in metric spaces and some applications ⋮ Revisiting Ćirić-Reich-Rus type iterated function systems ⋮ Existence and uniqueness of common fixed point solution for integral equation via complex valued metric space using class function ⋮ The nonlinear contraction in probabilistic cone b-metric spaces with application to integral equation ⋮ \((\alpha\eta)\)-contractive and \((\beta\chi)\)-contractive mapping based fixed point theorems in fuzzy bipolar metric spaces and application to nonlinear Volterra integral equations ⋮ A variational principle, fixed points and coupled fixed points on \(\mathbb{P}\) sets ⋮ \(F\)-contraction-type fixed point theorems in \(b\)-metric spaces ⋮ On common fixed point and coincidence point theorems in weak partial metric spaces using an implicit relation ⋮ On common fixed point theorems in partial metric spaces using \(C\)-class function ⋮ Common fixed point theorems in partial metric spaces satisfying common \((E.A)\)-property and an implicit relation ⋮ Common coupled fixed point results for contractive type conditions on \(S\)-metric spaces ⋮ Solving integral and differential equations via fixed point results involving \(F\)-contractions ⋮ Convergence of Fibonacci-Ishikawa iteration procedure for monotone asymptotically nonexpansive mappings ⋮ New L-fuzzy fixed point techniques for studying integral inclusions ⋮ Some common coupled fixed point theorems for a pair of occasionally weakly compatible mappings in \(S\)-metric spaces ⋮ Uniqueness solution for bounded \(n\)-linear functional using generalized nonexpansive type ⋮ A new method for the construction of fractals via best proximity point theory ⋮ A new iterative scheme for approximation of fixed points of Suzuki's generalized non-expansive mappings ⋮ Fixed points for \(S\)-contractions of type \(E\) on \(S\)-metric spaces ⋮ Orbital contraction in metric spaces with applications of fractional derivatives ⋮ Fixed point theorem of \(\psi_s\)-rational type contractions along with altering distance functions in \(b\)-metric spaces ⋮ On large \(s\)-simulation functions and large \(\mathcal{Z}_s\)-contractions with the link to Picard mappings ⋮ Existence results for a nonlinear generalized Caputo fractional boundary value problem ⋮ Coupled coincidence and coupled common fixed points of \((\psi, \phi)\) contraction type \(T\)-coupling in metric spaces ⋮ Fixed point results on graphical partial metric spaces with an application ⋮ Best proximity point theorems for \(\psi\)-\(\phi\)-contractions in metric spaces ⋮ Coupled and common coupled fixed point theorems under new coupled implicit relation in partial metric spaces ⋮ Fixed point results for multivalued contraction mappings in modular and non-Archimedean modular metric spaces ⋮ Investigation of a fixed point problem for Pata-type contractions with respect to \(w\)-distance ⋮ Wardowski type enriched contractive mappings with their fixed points ⋮ Coupled variational inequalities and application in electroelasticity ⋮ Kleene fixed point theorems and applications ⋮ Periodic and fixed points for mappings in extended \(b\)-gauge spaces equipped with a graph ⋮ \((\alpha, F)\)-Geraghty-type generalized \(F\)-contractions on non-Archimedean fuzzy metric-unlike spaces ⋮ A class of common fixed point results in cone metric spaces ⋮ Some fixed point results for nonlinear \(F\)-type contractions in strong partial b-metric spaces ⋮ Cyclic multivalued iterated function systems ⋮ New fixed point theorems on complete \(b\)-metric space by using rus contraction mapping ⋮ Multivalued fixed point theorem involving hybrid contraction of the Jaggi-Suzuki type ⋮ A new contraction by utilizing \(\mathcal{H}\)-simulation functions and \(\Omega \)-distance mappings in the frame of complete \(G\)-metric spaces ⋮ On the relation of Kannan contraction and Banach contraction ⋮ Multivalued hybrid contraction that involves Jaggi and Pata-type inequalities ⋮ Decomposing a fixed point problem into multiple fixed point problems ⋮ Fixed point theorem for generalized Kannan type mappings

This page was built for publication: Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales.

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q1461571)