On multivalued weakly Picard operators in partial Hausdorff metric spaces

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• 作者：Mohamed Jleli (1)
  Hemant Kumar Nashine (2)
  Bessem Samet (1)
  Calogero Vetro (3)
  
  1. Department of Mathematics ; College of Science ; King Saud University ; P.O. Box 2455 ; Riyadh ; 11451 ; Saudi Arabia
  2. Department of Mathematics ; Disha Institute of Management and Technology ; Satya Vihar ; Vidhansabha-Chandrakhuri Marg ; Mandir Hasaud ; Raipur ; Chhattisgarh ; 492101 ; India
  3. Dipartimento di Matematica e Informatica ; Universit脿 degli Studi di Palermo ; Via Archirafi 34 ; Palermo ; 90123 ; Italy
  
• 关键词：47H10 ; 54H25 ; data dependence ; fixed point ; multivalued operator ; partial metric space
• 刊名：Fixed Point Theory and Applications
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：2015
• 期：1
• 全文大小：1,309 KB
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• 刊物主题：Analysis; Mathematics, general; Applications of Mathematics; Differential Geometry; Topology; Mathematical and Computational Biology;
• 出版者：Springer International Publishing
• ISSN：1687-1812

文摘

We discuss multivalued weakly Picard operators on partial Hausdorff metric spaces. First, we obtain Kikkawa-Suzuki type fixed point theorems for a new type of generalized contractive conditions. Then, we prove data dependence of a fixed points set theorem. Finally, we present sufficient conditions for well-posedness of a fixed point problem. Our results generalize, complement and extend classical theorems in metric and partial metric spaces.