TY  - JOUR
AU  - Al-Qurashi, Maysaa
AU  - Shagari, Mohammed Shehu
AU  - Rashid, Saima
AU  - Hamed, Y. S.
AU  - Mohamed, Mohamed S.
PY  - 2022
TI  - Stability of intuitionistic fuzzy set-valued maps and solutions of integral inclusions
JO  - AIMS Mathematics
SP  - 315
EP  - 333
VL  - 7
IS  - 1
AB  - In this paper, new intuitionistic fuzzy fixed point results for sequence of intuitionistic fuzzy set-valued maps in the structure of    b-metric spaces are examined. A few nontrivial comparative examples are constructed to keep up the hypotheses and generality of our obtained results. Following the fact that most existing concepts of Ulam-Hyers type stabilities are concerned with crisp mappings, we introduce the notion of stability and well-posedness of functional inclusions involving intuitionistic fuzzy set-valued maps. It is a familiar fact that solution of every functional inclusion is a subset of an appropriate space. In this direction, intuitionistic fuzzy fixed point problem involving    (  α  ,  β  )-level set of an intuitionistic fuzzy set-valued map is initiated. Moreover, novel sufficient criteria for existence of solutions to an integral inclusion are investigated to indicate a possible application of the ideas presented herein.
UR  - https://doi.org/10.3934/math.2022022
DO  - 10.3934/math.2022022