Stability of intuitionistic fuzzy set-valued maps and solutions of integral inclusions
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 fac...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022022?viewType=HTML |
| _version_ | 1798035638357852160 |
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| author | Maysaa Al-Qurashi Mohammed Shehu Shagari Saima Rashid Y. S. Hamed Mohamed S. Mohamed |
| author_facet | Maysaa Al-Qurashi Mohammed Shehu Shagari Saima Rashid Y. S. Hamed Mohamed S. Mohamed |
| author_sort | Maysaa Al-Qurashi |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T21:00:09Z |
| format | Article |
| id | doaj.art-618f6361adbf496ea132f524236205e2 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-11T21:00:09Z |
| publishDate | 2022-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-618f6361adbf496ea132f524236205e22022-12-22T04:03:31ZengAIMS PressAIMS Mathematics2473-69882022-01-017131533310.3934/math.2022022Stability of intuitionistic fuzzy set-valued maps and solutions of integral inclusionsMaysaa Al-Qurashi 0Mohammed Shehu Shagari1Saima Rashid 2Y. S. Hamed3Mohamed S. Mohamed41. Department of Mathematics, King Saud University, P.O.Box 22452, Riyadh 11495, Saudi Arabia2. Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Nigeria3. Department of Mathematics, Government College University, Faisalabad, Pakistan4. Department of Mathematics, Faculty of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabia4. Department of Mathematics, Faculty of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi ArabiaIn 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.https://www.aimspress.com/article/doi/10.3934/math.2022022?viewType=HTMLintuitionistic fuzzy setintuitionistic fuzzy fixed pointb-metric spaceulam-hyers stabilityintegral inclusion |
| spellingShingle | Maysaa Al-Qurashi Mohammed Shehu Shagari Saima Rashid Y. S. Hamed Mohamed S. Mohamed Stability of intuitionistic fuzzy set-valued maps and solutions of integral inclusions AIMS Mathematics intuitionistic fuzzy set intuitionistic fuzzy fixed point b-metric space ulam-hyers stability integral inclusion |
| title | Stability of intuitionistic fuzzy set-valued maps and solutions of integral inclusions |
| title_full | Stability of intuitionistic fuzzy set-valued maps and solutions of integral inclusions |
| title_fullStr | Stability of intuitionistic fuzzy set-valued maps and solutions of integral inclusions |
| title_full_unstemmed | Stability of intuitionistic fuzzy set-valued maps and solutions of integral inclusions |
| title_short | Stability of intuitionistic fuzzy set-valued maps and solutions of integral inclusions |
| title_sort | stability of intuitionistic fuzzy set valued maps and solutions of integral inclusions |
| topic | intuitionistic fuzzy set intuitionistic fuzzy fixed point b-metric space ulam-hyers stability integral inclusion |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022022?viewType=HTML |
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