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Coupled Coincidence Point Theorem in Partially Ordered Metric Spaces via Implicit Relation

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  • Nguyen Manh Hung
  • Erdal Karapınar
  • Nguyen Van Luong

Abstract

We prove a coupled coincidence point theorem for mappings F : 𠑋 × 𠑋 → 𠑋 and g : 𠑋 → 𠑋 , where F has the mixed g -monotone property, in partially ordered metric spaces via implicit relations. Our result extends and improves several results in the literature. Examples are also given to illustrate our work.

Suggested Citation

  • Nguyen Manh Hung & Erdal Karapınar & Nguyen Van Luong, 2012. "Coupled Coincidence Point Theorem in Partially Ordered Metric Spaces via Implicit Relation," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-14, July.
    • Handle: RePEc:hin:jnlaaa:796964
    DOI: 10.1155/2012/796964
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