ULAM-HYERS STABILITY FOR OPERATORIAL EQUATIONS AND INCLUSIONS VIA NONSELF OPERATORS

Using the weakly Picard operator technique, we present some abstract Ulam-Hyers stability results for operatorial equations and inclusions involving nonself single-valued and multivalued operators. 2010Mathematics Subject Classification: 47H10, 54H25, 54C60. Key words and phrases: Ulam-Hyers stabili...

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Bibliographic Details
Published in:Taiwanese journal of mathematics 2011-10, Vol.15 (5), p.2195-2212
Main Authors: Petru, T. P., Petruşel, A., Yao, J.-C.
Format: Article
Language:English
Subjects:
Applied mathematics
Approximation
Diagonal lemma
Differential equations
Increasing functions
Mathematical sets
Mathematics
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Summary:Using the weakly Picard operator technique, we present some abstract Ulam-Hyers stability results for operatorial equations and inclusions involving nonself single-valued and multivalued operators. 2010Mathematics Subject Classification: 47H10, 54H25, 54C60. Key words and phrases: Ulam-Hyers stability, Generalized Ulam-Hyers, Nonself operator, Multivalued operator, Weakly Picard operator,c-Weakly Picard operator, Fixed point, Strict fixed point.
ISSN:1027-5487
2224-6851
DOI:10.11650/twjm/1500406430