@article{Al-Qurashi2022, 
author = {Maysaa Al-Qurashi and Mohammed Shehu Shagari and Saima Rashid and Y. S. Hamed and Mohamed S. Mohamed},
title = {Stability of intuitionistic fuzzy set-valued maps and solutions of integral inclusions},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {1},
pages = {315-333},
keywords = {intuitionistic fuzzy set, intuitionistic fuzzy fixed point, b-metric space, Ulam-Hyers stability, integral inclusion},
url = {https://www.sciopen.com/article/10.3934/math.2022022},
doi = {10.3934/math.2022022},
abstract = {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.}
}