Approximation of common fixed points in 2-Banach spaces with applications

• Autores: D. Ramesh Kumar, M. Pitchaimani
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 20, Nº. 1, 2019, págs. 43-55
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • The purpose of this paper is to establish the existence and uniqueness of common fixed points of a family of self-mappings satisfying generalized rational contractive condition in 2-Banach spaces. An example is included to justify our results. We approximate the common fixed point by Mann and Picard type iteration schemes. Further, an application to well-posedness of the common fixed point problem is given. The presented results generalize many known results on 2-Banach spaces.