Higher order of convergence with multivalued contraction mappings

DOI10.1155/2020/8867897zbMath1489.54171OpenAlexW3104839697MaRDI QIDQ2225574

Shahzad Nadeem, Shahbaz Ali, Asma Rashid Butt, Jia-Bao Liu, Muhammad Shoaib

Publication date: 8 February 2021

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/8867897

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

• Iterative approximation of fixed points
• Common fixed point of multivalued generalized \(\varphi \)-weak contractive mappings
• General local convergence theory for a class of iterative processes and its applications to Newton's method
• Convergence of iterative algorithms for multivalued mappings in Banach spaces
• Single-valued mappings, multivalued mappings and fixed-point theorems
• Fixed point theorems for multivalued mappings on complete metric spaces
• Fixed points of generalized contractive multi-valued mappings
• A generalization of \(b\)-metric space and some fixed point theorems
• A generalization of the Banach contraction principle with high order of convergence of successive approximations
• Nadler's type principle with high order of convergence
• Multi-valued contraction mappings
• Verifiable Conditions for Openness and Regularity of Multivalued Mappings in Banach Spaces
• Local fixed point results for graphic contractions
• Multi-Valued Monotone Nonlinear Mappings and Duality Mappings in Banach Spaces
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