Fixed Points of Weakly Compatible Mappings Satisfying Generalized \(\varphi \) -Weak Contractions

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• 作者：Calogero Vetro ; Sunny Chauhan…
• 关键词：Metric space ; Weakly compatible mappings ; $$(CLR_{S})$$ ( C L R S ) property ; $$(CLR_{ST})$$ ( C L R S T ) property ; Fixed point ; 47H09 ; 47H10 ; 54H25 ; 46T99
• 刊名：Bulletin of the Malaysian Mathematical Sciences Society
• 出版年：2015
• 出版时间：July 2015
• 年：2015
• 卷：38
• 期：3
• 页码：1085-1105
• 全文大小：529 KB
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• 作者单位：Calogero Vetro (1)
  Sunny Chauhan (2)
  Erdal Karap谋nar (3)
  Wasfi Shatanawi (4)
  
  1. Dipartimento di Matematica e Informatica, Universit脿 degli Studi di Palermo, via archirafi 34, 90123, Palermo, Italy
  2. Near Nehru Training Center, H. No. 274, Nai Basti B-14, Bijnor, 246701, Uttar Pradesh, India
  3. Department of Mathematics, Atilim University 陌ncek, Ankara, 06836, Turkey
  4. Department of Mathematics, Hashemite University, Zarqa, Jordan
  
• 刊物类别：Mathematics, general; Applications of Mathematics;
• 刊物主题：Mathematics, general; Applications of Mathematics;
• 出版者：Springer Singapore
• ISSN：2180-4206

文摘

In this paper, utilizing the notion of the common limit range property, we prove some new integral type common fixed point theorems for weakly compatible mappings satisfying a \(\varphi \)-weak contractive condition in metric spaces. Moreover, we extend our results to four finite families of self mappings, and furnish an illustrative example and an application to support our main theorem. Our results improve, extend, and generalize well-known results on the topic in the literature. Keywords Metric space Weakly compatible mappings \((CLR_{S})\) property \((CLR_{ST})\) property Fixed point