Best proximity and fixed point results for cyclic multivalued mappings under a generalized contractive condition
نویسندگان
چکیده
منابع مشابه
On best proximity points for multivalued cyclic $F$-contraction mappings
In this paper, we establish and prove the existence of best proximity points for multivalued cyclic $F$- contraction mappings in complete metric spaces. Our results improve and extend various results in literature.
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Abstract In this paper, fixed point and coincidence results are presented for multivalued generalized φ-weak contractive mappings on complete metric spaces, where φ : [0, +∞) −→ [0, +∞) is a lower semicontinuous function with φ(0) = 0 and φ(t) > 0 for all t > 0. Our results extend previous results by Zhang and Song (2009), as well as by Rhoades (2001), Nadler (1969), and Daffer and Kaneko (1995).
متن کاملGeneralized weakly contractive multivalued mappings and common fixed points
In this paper we introduce the concept of generalized weakly contractiveness for a pair of multivalued mappings in a metric space. We then prove the existence of a common fixed point for such mappings in a complete metric space. Our result generalizes the corresponding results for single valued mappings proved by Zhang and Song [14], as well as those proved by D. Doric [4].
متن کاملFixed point results for multivalued contractive maps
* Correspondence: [email protected] Department of Mathematics, Faculty of Science For Girls, King Abdulaziz University, P.O. Box 53909, Jeddah 21593, Saudi Arabia Full list of author information is available at the end of the article Abstract Using the concept of u-distance, we prove a fixed point theorem for multivalued contractive maps. We also establish a multivalued version of the Caris...
متن کاملon best proximity points for multivalued cyclic $f$-contraction mappings
in this paper, we establish and prove the existence of best proximity points for multivalued cyclic $f$- contraction mappings in complete metric spaces. our results improve and extend various results in literature.
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ژورنال
عنوان ژورنال: Fixed Point Theory and Applications
سال: 2013
ISSN: 1687-1812
DOI: 10.1186/1687-1812-2013-324