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Some common fixed point theorems for generalized nonlinear contractive mappings
Authors:Sumit Chandok
Affiliation:
  • Department of Mathematics, Dr. B.R. Ambedkar National Institute of Technology, Jalandhar-144011, India
  • Abstract:Sufficient conditions for the existence of a common fixed point for generalized nonlinear contractive mappings are derived. As applications, some results on the set of best approximation for this class of mappings are also obtained. The proved results generalize and extend various known results in the literature.
    Keywords:Common fixed point   f-weakly contractive mappings   (μ,ψ)-generalized f-weakly contractive mappings   Weakly compatible mappings   Banach operator pair
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