Common fixed points using (ψ,ϕ ) - type contractive maps in fuzzy metric spaces
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| Format: | Artículo científico |
| Language: | en |
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Universidad Nacional Autónoma de México
2020
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| _version_ | 1876456185965576192 |
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| author | Vishal Gupta |
| author_facet | Vishal Gupta |
| contents | Common fixed points using (ψ,ϕ ) - type contractive maps in fuzzy metric spaces Vishal Gupta Manu Verma Ingeniería 47H10 control functions fuzzy metric space contractive mappings weak contraction 2000 MSC: 54H25 This In this paper, we define new control functions to give unique fixed point in fuzzy metric space. A fruitful contractive condition of (ψ, ϕ)- type is used to obtain common fixed point theorem for two maps in fuzzy metric spaces. We extend the existing results in metric space to fuzzy metric space using these control functions. The first theorem is the extension of the result of Zhang and Song (2009) under the required contractive conditions. Second result is analogous to the result of Doric (2009) in metric spaces. 2020 artículo científico 1665-6423 https://www.redalyc.org/articulo.oa?id=47471661004 https://www.redalyc.org/journal/474/47471661004/ https://www.redalyc.org/journal/474/47471661004/html/ https://www.redalyc.org/journal/474/47471661004/47471661004.epub https://www.redalyc.org/journal/474/47471661004/movil 10.14482/INDES.30.1.303.661 en http://www.redalyc.org/revista.oa?id=474 Journal of Applied Research and Technology application/pdf Universidad Nacional Autónoma de México Journal of Applied Research and Technology (México) Num.1 Vol.18 |
| format | Artículo científico |
| id | redalyc_47471661004 |
| institution | Redalyc |
| language | en |
| publishDate | 2020 |
| publisher | Universidad Nacional Autónoma de México |
| spellingShingle | Common fixed points using (ψ,ϕ ) - type contractive maps in fuzzy metric spaces Vishal Gupta Ingeniería 47H10 control functions fuzzy metric space contractive mappings weak contraction 2000 MSC: 54H25 Common fixed points using (ψ,ϕ ) - type contractive maps in fuzzy metric spaces Vishal Gupta Manu Verma Ingeniería 47H10 control functions fuzzy metric space contractive mappings weak contraction 2000 MSC: 54H25 This In this paper, we define new control functions to give unique fixed point in fuzzy metric space. A fruitful contractive condition of (ψ, ϕ)- type is used to obtain common fixed point theorem for two maps in fuzzy metric spaces. We extend the existing results in metric space to fuzzy metric space using these control functions. The first theorem is the extension of the result of Zhang and Song (2009) under the required contractive conditions. Second result is analogous to the result of Doric (2009) in metric spaces. 2020 artículo científico 1665-6423 https://www.redalyc.org/articulo.oa?id=47471661004 https://www.redalyc.org/journal/474/47471661004/ https://www.redalyc.org/journal/474/47471661004/html/ https://www.redalyc.org/journal/474/47471661004/47471661004.epub https://www.redalyc.org/journal/474/47471661004/movil 10.14482/INDES.30.1.303.661 en http://www.redalyc.org/revista.oa?id=474 Journal of Applied Research and Technology application/pdf Universidad Nacional Autónoma de México Journal of Applied Research and Technology (México) Num.1 Vol.18 |
| title | Common fixed points using (ψ,ϕ ) - type contractive maps in fuzzy metric spaces |
| topic | Ingeniería 47H10 control functions fuzzy metric space contractive mappings weak contraction 2000 MSC: 54H25 |
| url | https://www.redalyc.org/articulo.oa?id=47471661004 https://www.redalyc.org/journal/474/47471661004/ https://www.redalyc.org/journal/474/47471661004/html/ https://www.redalyc.org/journal/474/47471661004/47471661004.epub https://www.redalyc.org/journal/474/47471661004/movil |