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...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Universidad de La Frontera
2010-01-01
|
| Series: | Cubo |
| Subjects: | |
| Online Access: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000100006 |
| Summary: | 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">. |
|---|---|
| ISSN: | 0716-7776 0719-0646 |