A new multivalued contraction and stability of its fixed point sets

DOI10.1016/j.joems.2014.05.004zbMath1327.54041OpenAlexW1994021113MaRDI QIDQ895184

Chaitali Bandyopadhyay, Binayak S. Choudhury

Publication date: 26 November 2015

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2014.05.004

zbMATH Keywords

stabilityHausdorff metricmetric spacefixed point setmultivalued \(\alpha\)-\(\psi\) contraction

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point and coincidence theorems (topological aspects) (54H25) Stability theory for smooth dynamical systems (37C75)

Related Items (6)

On $F$-Weak Contraction of Generalized Multivalued Integral Type Mappings with $alpha $-admissible ⋮ Fisher Type Set-valued Mappings in b-metric Spaces and an Application to Integral Inclusion ⋮ Unnamed Item ⋮ Fixed points and stability for integral-type multivalued contractive mappings ⋮ Stability results for fixed point sets of α*- Ψ contractive multivalued mappings ⋮ Stability of fixed point sets of a class of multivalued nonlinear contractions

Cites Work

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• A Generalization of Banach's Contraction Principle
• A proof of the Generalized Banach Contraction Conjecture
• SOME FIXED POINT THEOREMS
• A generalized Banach contraction principle that characterizes metric completeness

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