Fixed point approach to the stability of generalized polynomials


	Open access
	Fixed point approach to the stability of generalized polynomials


	Fixed Point Theory, Volume 20, No. 1, 2019, 135-156, February 1st, 2019 DOI: 10.24193/fpt-ro.2019.1.08 Authors: Dan M. Dăianu Abstract: Using a new fixed point theorem for linear operators which act on function spaces, we give an iterative method for proving the generalized stability in three essential cases and the hyperstability for polynomial equation Δ_y^n + 1f(x) = 0 on commutative monoids.The proposed iterative fixed point method leads to final concrete unitary estimates, and also improves and complements the known stability results for generalized polynomials. Key Words and Phrases: Stability, hyperstability, fixed point method, generalized polynomial. 2010 Mathematics Subject Classification: 39B82, 39B72, 39B62, 47H10. Published on-line: February 1st, 2019. Abstract pdf Fulltext pdf Back to volume's table of contents