Research
Applications of Caristi's fixed point results
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* Corresponding author: Abdul Latif alatif@kau.edu.sa
Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Journal of Inequalities and Applications 2012, 2012:40 doi:10.1186/1029-242X-2012-40
Published: 21 February 2012Abstract
In the setup of locally convex spaces, applying Caristi's results we prove some fixed point results for non-self multivalued maps and common fixed point theorems for Caristi type maps utilizing two different techniques. We apply our results to obtain some common fixed points for a Banach operator pair from the set of best approximations. Consequently, we either improve or extend a number of known results in the fixed point theory.
2000 Mathematics Subject Classification: 47H10; 54H25.
