Fixed point results for decreasing convex orbital operators in Hilbert spaces

DOI10.1007/S11784-021-00873-1zbMath1495.47082OpenAlexW3170761646MaRDI QIDQ2045196

Adrian Petruşel, Gabriela Petrusel

Publication date: 12 August 2021

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-021-00873-1

zbMATH Keywords

contractionfixed pointHilbert spacegeneralized contractionweakly Picard operatorPicard operatorgraphic contractiondecreasing operatorconvex orbital Lipschitz operator

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Special maps on metric spaces (54E40)

Cites Work

• Approximate fixed points of generalized convex contractions
• Fixed point theorems for convex contraction mappings on cone metric spaces
• Approximate fixed point theorems for partial generalized convex contraction mappings in \(\alpha\)-complete metric spaces
• Approximating fixed points of enriched contractions in Banach spaces
• Genericity in nonlinear analysis
• Graphic Contraction Principle and Applications
• A Generalization of Banach's Contraction Principle
• 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
• The Round‐off Stability of Iterations
• Some Remarks Concerning Contraction Mappings
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