Fixed point theorems in fuzzy metric spaces for mappings with Bγ,µ condition
Abstract In this paper we prove some fixed point theorems in fuzzy metric spaces for a class of generalized nonexpansive mappings satisfying B γ,µ condition. We introduce a type of convexity in fuzzy metric spaces with respect to an altering distance function and prove convergence results...
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Universidad Católica del Norte, Departamento de Matemáticas
2021
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oai:scielo:S0716-091720210004008372021-08-12Fixed point theorems in fuzzy metric spaces for mappings with Bγ,µ conditionGoswami,NilakshiPatir,Bijoy Fuzzy metric space Bγ,µ condition Convexity, Fixed point Abstract In this paper we prove some fixed point theorems in fuzzy metric spaces for a class of generalized nonexpansive mappings satisfying B γ,µ condition. We introduce a type of convexity in fuzzy metric spaces with respect to an altering distance function and prove convergence results for some iteration schemes to the fixed point. The results are supported by suitable examples.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.40 n.4 20212021-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000400837en10.22199/issn.0717-6279-3333 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
Fuzzy metric space Bγ,µ condition Convexity, Fixed point |
| spellingShingle |
Fuzzy metric space Bγ,µ condition Convexity, Fixed point Goswami,Nilakshi Patir,Bijoy Fixed point theorems in fuzzy metric spaces for mappings with Bγ,µ condition |
| description |
Abstract In this paper we prove some fixed point theorems in fuzzy metric spaces for a class of generalized nonexpansive mappings satisfying B γ,µ condition. We introduce a type of convexity in fuzzy metric spaces with respect to an altering distance function and prove convergence results for some iteration schemes to the fixed point. The results are supported by suitable examples. |
| author |
Goswami,Nilakshi Patir,Bijoy |
| author_facet |
Goswami,Nilakshi Patir,Bijoy |
| author_sort |
Goswami,Nilakshi |
| title |
Fixed point theorems in fuzzy metric spaces for mappings with Bγ,µ condition |
| title_short |
Fixed point theorems in fuzzy metric spaces for mappings with Bγ,µ condition |
| title_full |
Fixed point theorems in fuzzy metric spaces for mappings with Bγ,µ condition |
| title_fullStr |
Fixed point theorems in fuzzy metric spaces for mappings with Bγ,µ condition |
| title_full_unstemmed |
Fixed point theorems in fuzzy metric spaces for mappings with Bγ,µ condition |
| title_sort |
fixed point theorems in fuzzy metric spaces for mappings with bγ,µ condition |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2021 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000400837 |
| work_keys_str_mv |
AT goswaminilakshi fixedpointtheoremsinfuzzymetricspacesformappingswithb947μcondition AT patirbijoy fixedpointtheoremsinfuzzymetricspacesformappingswithb947μcondition |
| _version_ |
1718439908476977152 |