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Best Proximity Point Results inG-Metric Spaces
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| Zeitschriftentitel: | Abstract and Applied Analysis |
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| Personen und Körperschaften: | , , |
| In: | Abstract and Applied Analysis, 2014, 2014, S. 1-8 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
Hindawi Limited
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| Schlagwörter: |
| Zusammenfassung: | <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> |
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| Umfang: | 1-8 |
| ISSN: |
1085-3375
1687-0409 |
| DOI: | 10.1155/2014/837943 |