Viscosity Approximation Methods for <inline-formula> <mml:math id="mm1000" display="block"> <mml:semantics> <mml:mrow> <mml:mo>*</mml:mo> </mml:mrow> </mml:semantics> </mml:math> </inline-formula>−Nonexpansive Multi-Valued Mappings in Convex Metric Spaces
In this paper, we prove convergence theorems for viscosity approximation processes involving <inline-formula> <math display="inline"> <semantics> <mrow> <mo>*</mo> </mrow> </semantics> </math> </inline-formula>−nonexpans...
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MDPI AG
2020-01-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/9/1/10 |
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doaj-e82668e2df214758bb7b32272f5838ed2020-11-25T02:45:08ZengMDPI AGAxioms2075-16802020-01-01911010.3390/axioms9010010axioms9010010Viscosity Approximation Methods for <inline-formula> <mml:math id="mm1000" display="block"> <mml:semantics> <mml:mrow> <mml:mo>*</mml:mo> </mml:mrow> </mml:semantics> </mml:math> </inline-formula>−Nonexpansive Multi-Valued Mappings in Convex Metric SpacesAzadeh Ghanifard0Hashem Parvaneh Masiha1Manuel De La Sen2Maryam Ramezani3Faculty of Mathematics, K. N. Toosi University of Technology, Tehran 16569, IranFaculty of Mathematics, K. N. Toosi University of Technology, Tehran 16569, IranInstitute of Research and Development of Processes University of the Basque Country, 48940 Leioa, SpainDepartment of Mathematics, University of Bojnord, Bojnord 94531, IranIn this paper, we prove convergence theorems for viscosity approximation processes involving <inline-formula> <math display="inline"> <semantics> <mrow> <mo>*</mo> </mrow> </semantics> </math> </inline-formula>−nonexpansive multi-valued mappings in complete convex metric spaces. We also consider finite and infinite families of such mappings and prove convergence of the proposed iteration schemes to common fixed points of them. Our results improve and extend some corresponding results.https://www.mdpi.com/2075-1680/9/1/10*−nonexpansive multi-valued mappingviscosity approximation methodsfixed pointconvex metric space |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Azadeh Ghanifard Hashem Parvaneh Masiha Manuel De La Sen Maryam Ramezani |
| spellingShingle |
Azadeh Ghanifard Hashem Parvaneh Masiha Manuel De La Sen Maryam Ramezani Viscosity Approximation Methods for <inline-formula> <mml:math id="mm1000" display="block"> <mml:semantics> <mml:mrow> <mml:mo>*</mml:mo> </mml:mrow> </mml:semantics> </mml:math> </inline-formula>−Nonexpansive Multi-Valued Mappings in Convex Metric Spaces Axioms *−nonexpansive multi-valued mapping viscosity approximation methods fixed point convex metric space |
| author_facet |
Azadeh Ghanifard Hashem Parvaneh Masiha Manuel De La Sen Maryam Ramezani |
| author_sort |
Azadeh Ghanifard |
| title |
Viscosity Approximation Methods for <inline-formula>
<mml:math id="mm1000" display="block">
<mml:semantics>
<mml:mrow>
<mml:mo>*</mml:mo>
</mml:mrow>
</mml:semantics>
</mml:math>
</inline-formula>−Nonexpansive Multi-Valued Mappings in Convex Metric Spaces |
| title_short |
Viscosity Approximation Methods for <inline-formula>
<mml:math id="mm1000" display="block">
<mml:semantics>
<mml:mrow>
<mml:mo>*</mml:mo>
</mml:mrow>
</mml:semantics>
</mml:math>
</inline-formula>−Nonexpansive Multi-Valued Mappings in Convex Metric Spaces |
| title_full |
Viscosity Approximation Methods for <inline-formula>
<mml:math id="mm1000" display="block">
<mml:semantics>
<mml:mrow>
<mml:mo>*</mml:mo>
</mml:mrow>
</mml:semantics>
</mml:math>
</inline-formula>−Nonexpansive Multi-Valued Mappings in Convex Metric Spaces |
| title_fullStr |
Viscosity Approximation Methods for <inline-formula>
<mml:math id="mm1000" display="block">
<mml:semantics>
<mml:mrow>
<mml:mo>*</mml:mo>
</mml:mrow>
</mml:semantics>
</mml:math>
</inline-formula>−Nonexpansive Multi-Valued Mappings in Convex Metric Spaces |
| title_full_unstemmed |
Viscosity Approximation Methods for <inline-formula>
<mml:math id="mm1000" display="block">
<mml:semantics>
<mml:mrow>
<mml:mo>*</mml:mo>
</mml:mrow>
</mml:semantics>
</mml:math>
</inline-formula>−Nonexpansive Multi-Valued Mappings in Convex Metric Spaces |
| title_sort |
viscosity approximation methods for <inline-formula>
<mml:math id="mm1000" display="block">
<mml:semantics>
<mml:mrow>
<mml:mo>*</mml:mo>
</mml:mrow>
</mml:semantics>
</mml:math>
</inline-formula>−nonexpansive multi-valued mappings in convex metric spaces |
| publisher |
MDPI AG |
| series |
Axioms |
| issn |
2075-1680 |
| publishDate |
2020-01-01 |
| description |
In this paper, we prove convergence theorems for viscosity approximation processes involving <inline-formula> <math display="inline"> <semantics> <mrow> <mo>*</mo> </mrow> </semantics> </math> </inline-formula>−nonexpansive multi-valued mappings in complete convex metric spaces. We also consider finite and infinite families of such mappings and prove convergence of the proposed iteration schemes to common fixed points of them. Our results improve and extend some corresponding results. |
| topic |
*−nonexpansive multi-valued mapping viscosity approximation methods fixed point convex metric space |
| url |
https://www.mdpi.com/2075-1680/9/1/10 |
| work_keys_str_mv |
AT azadehghanifard viscosityapproximationmethodsforinlineformulammlmathidmm1000displayblockmmlsemanticsmmlmrowmmlmommlmommlmrowmmlsemanticsmmlmathinlineformulanonexpansivemultivaluedmappingsinconvexmetricspaces AT hashemparvanehmasiha viscosityapproximationmethodsforinlineformulammlmathidmm1000displayblockmmlsemanticsmmlmrowmmlmommlmommlmrowmmlsemanticsmmlmathinlineformulanonexpansivemultivaluedmappingsinconvexmetricspaces AT manueldelasen viscosityapproximationmethodsforinlineformulammlmathidmm1000displayblockmmlsemanticsmmlmrowmmlmommlmommlmrowmmlsemanticsmmlmathinlineformulanonexpansivemultivaluedmappingsinconvexmetricspaces AT maryamramezani viscosityapproximationmethodsforinlineformulammlmathidmm1000displayblockmmlsemanticsmmlmrowmmlmommlmommlmrowmmlsemanticsmmlmathinlineformulanonexpansivemultivaluedmappingsinconvexmetricspaces |
| _version_ |
1724763969356300288 |