Contraction Mapping Theory and Approach to LMI-Based Stability Criteria of T-S Fuzzy Impulsive Time-Delays Integrodifferential Equations

Table 1

Comparing our Theorem 8 and Corollary 10 with other existing criteria on CGNNs derived by fixed point theorems.

	Fixed point theorems	Continuity of	Differentiability of	Programmabilit of criteria
Our Theorem 8 (Corollary 10)	Contraction mapping theorem	Unnecessary	Unnecessary	Yes, LMI-based
[22, Theorem  3.1]	Contraction mapping theorem	Yes, necessary	[22, ()]	No
[19, Theorem  1]	Contraction mapping theorem	Yes, necessary	[19, ()]	No
[20, Theorems  1 and  2]	Contraction mapping theorem	Yes, necessary	Yes, necessary	No
[17, Theorems  1–3]	Brouwer fixed point theorem	Yes, necessary	[17, ()]	No
[21, Theorem  3.1]	Contraction mapping theorem	Yes, necessary	Yes, necessary	No

Conditions [19, ()], [22, ()], and [17, (H3)] are similar to .