Eintrag weiter verarbeiten
Best Proximity Point Results inG-Metric Spaces
Gespeichert in:
| Zeitschriftentitel: | Abstract and Applied Analysis |
|---|---|
| Personen und Körperschaften: | , , |
| In: | Abstract and Applied Analysis, 2014, 2014, S. 1-8 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
Hindawi Limited
|
| Schlagwörter: |
| author_facet |
Hussain, N. Latif, A. Salimi, P. Hussain, N. Latif, A. Salimi, P. |
|---|---|
| author |
Hussain, N. Latif, A. Salimi, P. |
| spellingShingle |
Hussain, N. Latif, A. Salimi, P. Abstract and Applied Analysis Best Proximity Point Results inG-Metric Spaces Applied Mathematics Analysis |
| author_sort |
hussain, n. |
| spelling |
Hussain, N. Latif, A. Salimi, P. 1085-3375 1687-0409 Hindawi Limited Applied Mathematics Analysis http://dx.doi.org/10.1155/2014/837943 <jats:p><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:math>-metric spaces proved to be a rich source for fixed point theory; however, the best proximity point problem has not been considered in such spaces. The aim of this paper is to introduce certain new classes of proximal contraction mappings and establish the best proximity point theorems for such kind of mappings in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:math>-metric spaces. As a consequence of these results, we deduce certain new best proximity and fixed point results. Moreover, we present an example to illustrate the usability of the obtained results.</jats:p> Best Proximity Point Results in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:math>-Metric Spaces Abstract and Applied Analysis |
| doi_str_mv |
10.1155/2014/837943 |
| facet_avail |
Online Free |
| finc_class_facet |
Mathematik |
| format |
ElectronicArticle |
| fullrecord |
blob:ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTE1NS8yMDE0LzgzNzk0Mw |
| id |
ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTE1NS8yMDE0LzgzNzk0Mw |
| institution |
DE-Bn3 DE-Brt1 DE-Zwi2 DE-D161 DE-Gla1 DE-Zi4 DE-15 DE-Pl11 DE-Rs1 DE-105 DE-14 DE-Ch1 DE-L229 DE-D275 |
| imprint |
Hindawi Limited, 2014 |
| imprint_str_mv |
Hindawi Limited, 2014 |
| issn |
1085-3375 1687-0409 |
| issn_str_mv |
1085-3375 1687-0409 |
| language |
English |
| mega_collection |
Hindawi Limited (CrossRef) |
| match_str |
hussain2014bestproximitypointresultsingmetricspaces |
| publishDateSort |
2014 |
| publisher |
Hindawi Limited |
| recordtype |
ai |
| record_format |
ai |
| series |
Abstract and Applied Analysis |
| source_id |
49 |
| title |
Best Proximity Point Results inG-Metric Spaces |
| title_unstemmed |
Best Proximity Point Results inG-Metric Spaces |
| title_full |
Best Proximity Point Results inG-Metric Spaces |
| title_fullStr |
Best Proximity Point Results inG-Metric Spaces |
| title_full_unstemmed |
Best Proximity Point Results inG-Metric Spaces |
| title_short |
Best Proximity Point Results inG-Metric Spaces |
| title_sort |
best proximity point results in<mml:math xmlns:mml="http://www.w3.org/1998/math/mathml" id="m1"><mml:mrow><mml:mi>g</mml:mi></mml:mrow></mml:math>-metric spaces |
| topic |
Applied Mathematics Analysis |
| url |
http://dx.doi.org/10.1155/2014/837943 |
| publishDate |
2014 |
| physical |
1-8 |
| description |
<jats:p><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:math>-metric spaces proved to be a rich source for fixed point theory; however, the best proximity point problem has not been considered in such spaces. The aim of this paper is to introduce certain new classes of proximal contraction mappings and establish the best proximity point theorems for such kind of mappings in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:math>-metric spaces. As a consequence of these results, we deduce certain new best proximity and fixed point results. Moreover, we present an example to illustrate the usability of the obtained results.</jats:p> |
| container_start_page |
1 |
| container_title |
Abstract and Applied Analysis |
| container_volume |
2014 |
| format_de105 |
Article, E-Article |
| format_de14 |
Article, E-Article |
| format_de15 |
Article, E-Article |
| format_de520 |
Article, E-Article |
| format_de540 |
Article, E-Article |
| format_dech1 |
Article, E-Article |
| format_ded117 |
Article, E-Article |
| format_degla1 |
E-Article |
| format_del152 |
Buch |
| format_del189 |
Article, E-Article |
| format_dezi4 |
Article |
| format_dezwi2 |
Article, E-Article |
| format_finc |
Article, E-Article |
| format_nrw |
Article, E-Article |
| _version_ |
1792332323310534659 |
| geogr_code |
not assigned |
| last_indexed |
2024-03-01T13:54:37.24Z |
| geogr_code_person |
not assigned |
| openURL |
url_ver=Z39.88-2004&ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fvufind.svn.sourceforge.net%3Agenerator&rft.title=Best+Proximity+Point+Results+inG-Metric+Spaces&rft.date=2014-01-01&genre=article&issn=1687-0409&volume=2014&spage=1&epage=8&pages=1-8&jtitle=Abstract+and+Applied+Analysis&atitle=Best+Proximity+Point+Results+in%3Cmml%3Amath+xmlns%3Amml%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22+id%3D%22M1%22%3E%3Cmml%3Amrow%3E%3Cmml%3Ami%3EG%3C%2Fmml%3Ami%3E%3C%2Fmml%3Amrow%3E%3C%2Fmml%3Amath%3E-Metric+Spaces&aulast=Salimi&aufirst=P.&rft_id=info%3Adoi%2F10.1155%2F2014%2F837943&rft.language%5B0%5D=eng |
| SOLR | |
| _version_ | 1792332323310534659 |
| author | Hussain, N., Latif, A., Salimi, P. |
| author_facet | Hussain, N., Latif, A., Salimi, P., Hussain, N., Latif, A., Salimi, P. |
| author_sort | hussain, n. |
| container_start_page | 1 |
| container_title | Abstract and Applied Analysis |
| container_volume | 2014 |
| description | <jats:p><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:math>-metric spaces proved to be a rich source for fixed point theory; however, the best proximity point problem has not been considered in such spaces. The aim of this paper is to introduce certain new classes of proximal contraction mappings and establish the best proximity point theorems for such kind of mappings in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:math>-metric spaces. As a consequence of these results, we deduce certain new best proximity and fixed point results. Moreover, we present an example to illustrate the usability of the obtained results.</jats:p> |
| doi_str_mv | 10.1155/2014/837943 |
| facet_avail | Online, Free |
| finc_class_facet | Mathematik |
| format | ElectronicArticle |
| format_de105 | Article, E-Article |
| format_de14 | Article, E-Article |
| format_de15 | Article, E-Article |
| format_de520 | Article, E-Article |
| format_de540 | Article, E-Article |
| format_dech1 | Article, E-Article |
| format_ded117 | Article, E-Article |
| format_degla1 | E-Article |
| format_del152 | Buch |
| format_del189 | Article, E-Article |
| format_dezi4 | Article |
| format_dezwi2 | Article, E-Article |
| format_finc | Article, E-Article |
| format_nrw | Article, E-Article |
| geogr_code | not assigned |
| geogr_code_person | not assigned |
| id | ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTE1NS8yMDE0LzgzNzk0Mw |
| imprint | Hindawi Limited, 2014 |
| imprint_str_mv | Hindawi Limited, 2014 |
| institution | DE-Bn3, DE-Brt1, DE-Zwi2, DE-D161, DE-Gla1, DE-Zi4, DE-15, DE-Pl11, DE-Rs1, DE-105, DE-14, DE-Ch1, DE-L229, DE-D275 |
| issn | 1085-3375, 1687-0409 |
| issn_str_mv | 1085-3375, 1687-0409 |
| language | English |
| last_indexed | 2024-03-01T13:54:37.24Z |
| match_str | hussain2014bestproximitypointresultsingmetricspaces |
| mega_collection | Hindawi Limited (CrossRef) |
| physical | 1-8 |
| publishDate | 2014 |
| publishDateSort | 2014 |
| publisher | Hindawi Limited |
| record_format | ai |
| recordtype | ai |
| series | Abstract and Applied Analysis |
| source_id | 49 |
| spelling | Hussain, N. Latif, A. Salimi, P. 1085-3375 1687-0409 Hindawi Limited Applied Mathematics Analysis http://dx.doi.org/10.1155/2014/837943 <jats:p><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:math>-metric spaces proved to be a rich source for fixed point theory; however, the best proximity point problem has not been considered in such spaces. The aim of this paper is to introduce certain new classes of proximal contraction mappings and establish the best proximity point theorems for such kind of mappings in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:math>-metric spaces. As a consequence of these results, we deduce certain new best proximity and fixed point results. Moreover, we present an example to illustrate the usability of the obtained results.</jats:p> Best Proximity Point Results in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:math>-Metric Spaces Abstract and Applied Analysis |
| spellingShingle | Hussain, N., Latif, A., Salimi, P., Abstract and Applied Analysis, Best Proximity Point Results inG-Metric Spaces, Applied Mathematics, Analysis |
| title | Best Proximity Point Results inG-Metric Spaces |
| title_full | Best Proximity Point Results inG-Metric Spaces |
| title_fullStr | Best Proximity Point Results inG-Metric Spaces |
| title_full_unstemmed | Best Proximity Point Results inG-Metric Spaces |
| title_short | Best Proximity Point Results inG-Metric Spaces |
| title_sort | best proximity point results in<mml:math xmlns:mml="http://www.w3.org/1998/math/mathml" id="m1"><mml:mrow><mml:mi>g</mml:mi></mml:mrow></mml:math>-metric spaces |
| title_unstemmed | Best Proximity Point Results inG-Metric Spaces |
| topic | Applied Mathematics, Analysis |
| url | http://dx.doi.org/10.1155/2014/837943 |