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Two Fixed-Point Theorems for Mappings Satisfying a General Contractive Condition of Integral Type in the Modular Space

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  • Maryam Beygmohammadi
  • Abdolrahman Razani

Abstract

First we prove existence of a fixed point for mappings defined on a complete modular space satisfying a general contractive inequality of integral type. Then we generalize fixed-point theorem for a quasicontraction mapping given by Khamsi (2008) and Ciric (1974).

Suggested Citation

  • Maryam Beygmohammadi & Abdolrahman Razani, 2010. "Two Fixed-Point Theorems for Mappings Satisfying a General Contractive Condition of Integral Type in the Modular Space," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2010, pages 1-10, December.
    • Handle: RePEc:hin:jijmms:317107
    DOI: 10.1155/2010/317107
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    Cited by:

    1. Chirasak Mongkolkeha & Poom Kumam, 2013. "Some Fixed Point Results for Generalized Weak Contraction Mappings in Modular Spaces," International Journal of Analysis, Hindawi, vol. 2013, pages 1-6, March.
    2. Mustafa Mudhesh & Aftab Hussain & Muhammad Arshad & Hamed Alsulami, 2023. "A Contemporary Approach of Integral Khan-Type Multivalued Contractions with Generalized Dynamic Process and an Application," Mathematics, MDPI, vol. 11(20), pages 1-18, October.
    3. J. R. Morales & E. M. Rojas, 2012. "Some Generalizations of Jungck's Fixed Point Theorem," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-19, November.

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