Document Details

Document Type : Article In Journal 
Document Title :
Fixed point results for set-valued contractions by altering distances in complete metric spaces
Fixed point results for set-valued contractions by altering distances in complete metric spaces
 
Subject : Mathematics 
Document Language : English 
Abstract : Nadler's contraction principle has led to fixed point theory of set-valued contraction in non-linear analysis. Inspired by the results of Nadler, the fixed point theory of set-valued contraction has been further developed in different directions by many authors, in particular, by Reich, Mizoguchi-Takahashi, Feng-Liu and many others. In the present paper, the concept of generalized contractions for set-valued maps in metric spaces is introduced and the existence of fixed point for such a contraction are guaranteed by certain conditions. Our first result extends and generalizes the Nadler, Feng-Liu and Klim-Wardowski theorems and the second result is different from the Reich and Mizoguchi-Takahashi results. As a consequence, we derive some results related to fixed point of set-valued maps satisfying certain conditions of integral type. 
ISSN : 0362-546X 
Journal Name : (2009) Nonlinear Analysis, Theory, Methods and Applications 
Volume : 70 
Issue Number : 7 
Publishing Year : 2009 AH
2009 AD 
Number Of Pages : 7 
Article Type : Article 
Added Date : Tuesday, October 13, 2009 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
نصير شهزاد محمدShahzad, N.ResearcherDoctoratenshahzad@kau.edu.sa
Pathak, H.KPathak, H.KResearcherDoctorate 

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