The Relevance of a Metric Condition on a Pair of Operators in Common Fixed Point Theory

DOI10.1007/978-981-33-6647-3_1OpenAlexW3158886293MaRDI QIDQ4956869

Adrian Petruşel, Ioan A. Rus

Publication date: 2 September 2021

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

Full work available at URL: https://doi.org/10.1007/978-981-33-6647-3_1

zbMATH Keywords

well-posednesscommon fixed pointUlam-Hyers stabilityweakly Picard operatoropen problemOstrowski property

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (3)

Graphical contractions and common fixed points in \(b\)-metric spaces ⋮ Sets with structure, mappings and fixed point property: fixed point structures ⋮ Fixed point theory of cyclic operators

Cites Work

• A new approach for the approximations of solutions to a common fixed point problem in metric fixed point theory
• Un point fixe commun pour des difféomorphismes commutants de \(S^ 2\). (A common fixed point for commutating diffeomorphisms of \(S^ 2\).)
• Fixed point and common fixed point theorems on ordered cone metric spaces
• Nonexpansive mappings defined on unbounded domains
• Iterative approximation of fixed points
• Fixed point theory for generalized \(\varphi\)-weak contractions
• Common fixed points and iteration of commuting nonexpansive mappings
• On common fixed points for several continuous affine mappings
• On common fixed point sets of commutative mappings
• Algorithms for solving common fixed point problems
• Convergence to common fixed points of a finite family of nonexpansive mappings
• A unified theory of cone metric spaces and its applications to the fixed point theory
• Sehgal type contractions on \(b\)-metric space
• The existence theorem for a solution of a system of integral equations along with cyclical common fixed point technique
• Convergence Rate Analysis for Averaged Fixed Point Iterations in Common Fixed Point Problems
• Graphic Contraction Principle and Applications
• Equivalent conditions involving common fixed points for maps on the unit interval
• Contraction Maps in Ordered Metrical Structures
• The Retraction-Displacement Condition in the Theory of Fixed Point Equation with a Convergent Iterative Algorithm
• Properties of Fixed-Point Sets of Nonexpansive Mappings in Banach Spaces
• Fixed point theorems in ordered 𝐿-spaces
• A common fixed point theorem
• A common fixed point theorem
• An extension of Markov-Kakutani's fixed point theorem
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