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Fixed point theorems for compatible multi-valued and single-valued mappings

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  • Hideaki Kaneko
  • Salvatore Sessa

Abstract

The notion of compatibility for point-to-point mappings recently defined by Jungck is generalized to include multi-valued mappings. This idea is used to establish a fixed point theorem for a generalized contractive multi-valued mapping and a single-valued mapping.

Suggested Citation

  • Hideaki Kaneko & Salvatore Sessa, 1989. "Fixed point theorems for compatible multi-valued and single-valued mappings," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 12, pages 1-6, January.
    • Handle: RePEc:hin:jijmms:546267
    DOI: 10.1155/S0161171289000293
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    Cited by:

    1. Muhammad Shoaib & Muhammad Sarwar, 2016. "Multivalued Fixed Point Theorems for Generalized Contractions and Their Applications," Journal of Mathematics, Hindawi, vol. 2016, pages 1-8, October.

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