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

T. P. Petru; A. Petruşel; J.-C. Yao

doi:10.11650/twjm/1500406430

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Home > Journals > Taiwanese J. Math. > Volume 15 > Issue 5 > Article

2011 ULAM-HYERS STABILITY FOR OPERATORIAL EQUATIONS AND INCLUSIONS VIA NONSELF OPERATORS

T. P. Petru, A. Petruşel, J.-C. Yao

Taiwanese J. Math. 15(5): 2195-2212 (2011). DOI: 10.11650/twjm/1500406430

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Abstract

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.

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T. P. Petru. A. Petruşel. J.-C. Yao. "ULAM-HYERS STABILITY FOR OPERATORIAL EQUATIONS AND INCLUSIONS VIA NONSELF OPERATORS." Taiwanese J. Math. 15 (5) 2195 - 2212, 2011. https://doi.org/10.11650/twjm/1500406430

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Published: 2011

First available in Project Euclid: 18 July 2017

zbMATH: 1246.54049

MathSciNet: MR2880400

Digital Object Identifier: 10.11650/twjm/1500406430

Subjects:

Primary: 47H10 , ‎54C60‎ , 54H25

Keywords: $c$-weakly Picard operator , fixed point , generalized Ulam-Hyers , multivalued operator , nonself operator , strict fixed point , Ulam-Hyers stability , weakly Picard operator

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Taiwanese J. Math.

Vol.15 • No. 5 • 2011

Mathematical Society of the Republic of China

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T. P. Petru, A. Petruşel, J.-C. Yao "ULAM-HYERS STABILITY FOR OPERATORIAL EQUATIONS AND INCLUSIONS VIA NONSELF OPERATORS," Taiwanese Journal of Mathematics, Taiwanese J. Math. 15(5), 2195-2212, (2011)

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