Relevant classes of weakly Picard operators

DOI10.1515/awutm-2016-0019OpenAlexW2578894944MaRDI QIDQ2679418

Ioan A. Rus

Publication date: 20 January 2023

Published in: Analele Universității de Vest din Timișoara. Seria Matematică-Informatică (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/awutm-2016-0019

zbMATH Keywords

iterative algorithmmetric spacefunctional differential equationdata dependencegeneralized metric spaceweakly Picard operatorfunctional integral equationUlam stabilityquasicontractionopen problemgraphic contractionOstrowski propertyCaristi operatorwell-posedness of the fixed point problemretraction-displacement conditionBerinde operator

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Numerical solutions to equations with nonlinear operators (65J15) Abstract integral equations, integral equations in abstract spaces (45N05) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34Kxx) Nonlinear integral equations (45Gxx)

Related Items (1)

Local fixed point results for graphic contractions

Cites Work

• The role of equivalent metrics in fixed point theory
• Picard and weakly Picard operators technique for nonlinear differential equations in Banach spaces
• Iterative approximation of fixed points
• Iterative methods for the computation of fixed points of demicontractive mappings
• On Ciric type maps with a nonunique fixed point
• Stable iteration procedures for strong pseudo-contractions and nonlinear operator equations of the accretive type
• A unified theory of cone metric spaces and its applications to the fixed point theory
• The role of matrices that are convergent to zero in the study of semilinear operator systems
• Fixed point theory for cyclic \(\varphi\)-contractions
• An abstract point of view on iterative approximation schemes of fixed points for multivalued operators
• Fixed Point Theory in Distance Spaces
• Results and Problems in Ulam Stability of Operatorial Equations and Inclusions
• The Retraction-Displacement Condition in the Theory of Fixed Point Equation with a Convergent Iterative Algorithm
• Basic Theory of Fractional Differential Equations
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