Weakly Picard Pairs of Multifunctions
The purpose of this paper is to present a general answer for the following problem: Let <img border=0 width=43 height=21 src="http://fbpe/img/cubo/v12n1/img33.jpg">be a metric space and <img border=0 width=45 height=21 src="http://fbpe/img/cubo/v12n1/img34.jpg"><im...
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| Format: | Article |
| Language: | English |
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Universidad de La Frontera
2010-01-01
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| Series: | Cubo |
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| Online Access: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000100006 |
| _version_ | 1818610828457279488 |
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| author | Valeriu Popa |
| author_facet | Valeriu Popa |
| author_sort | Valeriu Popa |
| collection | DOAJ |
| description | The purpose of this paper is to present a general answer for the following problem: Let <img border=0 width=43 height=21 src="http://fbpe/img/cubo/v12n1/img33.jpg">be a metric space and <img border=0 width=45 height=21 src="http://fbpe/img/cubo/v12n1/img34.jpg"><img border=0 width=130 height=27 src="http://fbpe/img/cubo/v12n1/img8.jpg">two multifunctions. Determine the metric conditions which imply that <img border=0 width=52 height=22 src="http://fbpe/img/cubo/v12n1/img35.jpg">is a weakly Picard pair of multifunctions and <img border=0 width=45 height=21 src="http://fbpe/img/cubo/v12n1/img34.jpg">are weakly Picard multifunctions , for multifunctions satisfying an implicit contractive condition, generalizing some results from <img border=0 width=69 height=29 src="http://fbpe/img/cubo/v12n1/img36.jpg">.<br>El proposito de este artículo es presentar una respuesta general para el siguiente problema: Sea <img border=0 width=43 height=21 src="http://fbpe/img/cubo/v12n1/img33.jpg">un espacio métrico y <img border=0 width=45 height=21 src="http://fbpe/img/cubo/v12n1/img34.jpg">:<img border=0 width=108 height=18 src="http://fbpe/img/cubo/v12n1/img8.jpg"> dos multifunciones. Determine los condiciones metricas para las cuales <img border=0 width=52 height=22 src="http://fbpe/img/cubo/v12n1/img35.jpg">sea un par de multifunciones de Picard debil y <img border=0 width=45 height=21 src="http://fbpe/img/cubo/v12n1/img34.jpg">sean multifunciones satisfaziendo una condición contractiva implícita, generalizando algunos resultados de <img border=0 width=52 height=24 src="http://fbpe/img/cubo/v12n1/img37.jpg">. |
| first_indexed | 2024-12-16T15:20:38Z |
| format | Article |
| id | doaj.art-b826e185bd6f4cb0ae31753fdadd7586 |
| institution | Directory Open Access Journal |
| issn | 0716-7776 0719-0646 |
| language | English |
| last_indexed | 2024-12-16T15:20:38Z |
| publishDate | 2010-01-01 |
| publisher | Universidad de La Frontera |
| record_format | Article |
| series | Cubo |
| spelling | doaj.art-b826e185bd6f4cb0ae31753fdadd75862022-12-21T22:26:39ZengUniversidad de La FronteraCubo0716-77760719-06462010-01-011215966Weakly Picard Pairs of MultifunctionsValeriu PopaThe purpose of this paper is to present a general answer for the following problem: Let <img border=0 width=43 height=21 src="http://fbpe/img/cubo/v12n1/img33.jpg">be a metric space and <img border=0 width=45 height=21 src="http://fbpe/img/cubo/v12n1/img34.jpg"><img border=0 width=130 height=27 src="http://fbpe/img/cubo/v12n1/img8.jpg">two multifunctions. Determine the metric conditions which imply that <img border=0 width=52 height=22 src="http://fbpe/img/cubo/v12n1/img35.jpg">is a weakly Picard pair of multifunctions and <img border=0 width=45 height=21 src="http://fbpe/img/cubo/v12n1/img34.jpg">are weakly Picard multifunctions , for multifunctions satisfying an implicit contractive condition, generalizing some results from <img border=0 width=69 height=29 src="http://fbpe/img/cubo/v12n1/img36.jpg">.<br>El proposito de este artículo es presentar una respuesta general para el siguiente problema: Sea <img border=0 width=43 height=21 src="http://fbpe/img/cubo/v12n1/img33.jpg">un espacio métrico y <img border=0 width=45 height=21 src="http://fbpe/img/cubo/v12n1/img34.jpg">:<img border=0 width=108 height=18 src="http://fbpe/img/cubo/v12n1/img8.jpg"> dos multifunciones. Determine los condiciones metricas para las cuales <img border=0 width=52 height=22 src="http://fbpe/img/cubo/v12n1/img35.jpg">sea un par de multifunciones de Picard debil y <img border=0 width=45 height=21 src="http://fbpe/img/cubo/v12n1/img34.jpg">sean multifunciones satisfaziendo una condición contractiva implícita, generalizando algunos resultados de <img border=0 width=52 height=24 src="http://fbpe/img/cubo/v12n1/img37.jpg">.http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000100006Multifunctionfixed pointimplicit relationweakly Picard multifunctionweakly Picard pair of multifunctions |
| spellingShingle | Valeriu Popa Weakly Picard Pairs of Multifunctions Cubo Multifunction fixed point implicit relation weakly Picard multifunction weakly Picard pair of multifunctions |
| title | Weakly Picard Pairs of Multifunctions |
| title_full | Weakly Picard Pairs of Multifunctions |
| title_fullStr | Weakly Picard Pairs of Multifunctions |
| title_full_unstemmed | Weakly Picard Pairs of Multifunctions |
| title_short | Weakly Picard Pairs of Multifunctions |
| title_sort | weakly picard pairs of multifunctions |
| topic | Multifunction fixed point implicit relation weakly Picard multifunction weakly Picard pair of multifunctions |
| url | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000100006 |
| work_keys_str_mv | AT valeriupopa weaklypicardpairsofmultifunctions |