On nonlinear fuzzy set-valued Θ-contractions with applications
Among various improvements in fuzzy set theory, a progressive development has been in process to investigate fuzzy analogues of fixed point theorems of the classical fixed point results. In this direction, taking the ideas of θ-contractions as well as Feng-Liu's approach into account, some new...
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| Format: | Article |
| Language: | English |
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AIMS Press
2021-07-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2021605?viewType=HTML |
| _version_ | 1818618039997825024 |
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| author | Mohammed Shehu Shagari Saima Rashid Khadijah M. Abualnaja Monairah Alansari |
| author_facet | Mohammed Shehu Shagari Saima Rashid Khadijah M. Abualnaja Monairah Alansari |
| author_sort | Mohammed Shehu Shagari |
| collection | DOAJ |
| description | Among various improvements in fuzzy set theory, a progressive development has been in process to investigate fuzzy analogues of fixed point theorems of the classical fixed point results. In this direction, taking the ideas of θ-contractions as well as Feng-Liu's approach into account, some new fuzzy fixed point results for nonlinear fuzzy set-valued θ-contractions in the framework of metric-like spaces are introduced in this paper without using the usual Pompeiu-Hausorff distance function. Our established concepts complement, unify and generalize a few important fuzzy and classical fixed point theorems in the corresponding literature. A handful of these special cases of our notions are pointed and analyzed. Some of the main results herein are further applied to derive their analogues in metric-like spaces endowed with partial ordering and binary relations. Comparisons and nontrivial examples are given to authenticate the hypotheses and significance of the obtained ideas. |
| first_indexed | 2024-12-16T17:15:16Z |
| format | Article |
| id | doaj.art-9c70381516e64595b2671ce83c87ff95 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-16T17:15:16Z |
| publishDate | 2021-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-9c70381516e64595b2671ce83c87ff952022-12-21T22:23:19ZengAIMS PressAIMS Mathematics2473-69882021-07-01610104311048810.3934/math.2021605On nonlinear fuzzy set-valued Θ-contractions with applicationsMohammed Shehu Shagari 0Saima Rashid1Khadijah M. Abualnaja2Monairah Alansari31. Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria2. Department of Mathematics, Government College University, Faisalabad, Pakistan3. Department of Mathematics, Faculty of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabia4. Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi ArabiaAmong various improvements in fuzzy set theory, a progressive development has been in process to investigate fuzzy analogues of fixed point theorems of the classical fixed point results. In this direction, taking the ideas of θ-contractions as well as Feng-Liu's approach into account, some new fuzzy fixed point results for nonlinear fuzzy set-valued θ-contractions in the framework of metric-like spaces are introduced in this paper without using the usual Pompeiu-Hausorff distance function. Our established concepts complement, unify and generalize a few important fuzzy and classical fixed point theorems in the corresponding literature. A handful of these special cases of our notions are pointed and analyzed. Some of the main results herein are further applied to derive their analogues in metric-like spaces endowed with partial ordering and binary relations. Comparisons and nontrivial examples are given to authenticate the hypotheses and significance of the obtained ideas.https://www.aimspress.com/article/doi/10.3934/math.2021605?viewType=HTMLfixed pointfuzzy setfuzzy set-valued mapmetric-like spacemultivalued mappingθ-contraction |
| spellingShingle | Mohammed Shehu Shagari Saima Rashid Khadijah M. Abualnaja Monairah Alansari On nonlinear fuzzy set-valued Θ-contractions with applications AIMS Mathematics fixed point fuzzy set fuzzy set-valued map metric-like space multivalued mapping θ-contraction |
| title | On nonlinear fuzzy set-valued Θ-contractions with applications |
| title_full | On nonlinear fuzzy set-valued Θ-contractions with applications |
| title_fullStr | On nonlinear fuzzy set-valued Θ-contractions with applications |
| title_full_unstemmed | On nonlinear fuzzy set-valued Θ-contractions with applications |
| title_short | On nonlinear fuzzy set-valued Θ-contractions with applications |
| title_sort | on nonlinear fuzzy set valued θ contractions with applications |
| topic | fixed point fuzzy set fuzzy set-valued map metric-like space multivalued mapping θ-contraction |
| url | https://www.aimspress.com/article/doi/10.3934/math.2021605?viewType=HTML |
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