Some Common Fixed Point Theorems for Mappings Satisfying a General Contractive Condition of Integral Type

نویسندگان

  • O. A. Boikanyo
  • B. Choudhary
چکیده

Banach contraction principle is a fundamental result in fixed point theory and has been applied and extended in many different directions. In 2002, Branciari [3] obtained a fixed point theorem for a single mapping satisfying an analogue of Banach’s contraction principle for an integral type inequality. Aliouche [2] established a common fixed point theorem for weakly compatible mappings in symmetric spaces satisfying a contractive condition of integral type and a property (E.A) introduced by Aamri and El. Moutawakil [1]. In this paper we prove some common fixed point theorems for pointwise R-weakly commuting mappings in symmetric spaces with atleast one pair noncompatible satisfying a contractive condition of integral type. We also obtain some results for weakly compatible mappings which extend some results of Vijayaraju et al. [10], Rhoades [8] and Aamri et al. [1].

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تاریخ انتشار 2007