Peptides of general formula (I): R1—Wn—Xm-AA1-AA2-AA3-AA4-Yp—Zq—R2 (I) its stereoisomers, mixtures thereof and/or their cosmetically or pharmaceutically acceptable salts, a preparation process, cosmetic or pharmaceutical compositions which contain them and their use in the treatment and/or care of the skin, mucous membranes and/or hair and the treatment and/or care of those conditions, disorders and/or diseases which are improved or prevented by Hsp stimulation.