• 제목/요약/키워드: generalized Mizoguchi-Takahashi contraction

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COMMON n-TUPLED FIXED POINT THEOREM UNDER GENERALIZED MIZOGUCHI-TAKAHASHI CONTRACTION FOR HYBRID PAIR OF MAPPINGS

  • Deshpande, Bhavana;Handa, Amrish
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제29권1호
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    • pp.1-17
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    • 2022
  • We establish a common n-tupled fixed point theorem for hybrid pair of mappings under generalized Mizoguchi-Takahashi contraction. An example is given to validate our results. We improve, extend and generalize several known results.

COMMON COUPLED FIXED POINT THEOREM UNDER GENERALIZED MIZOGUCHI-TAKAHASHI CONTRACTION FOR HYBRID PAIR OF MAPPINGS GENERALIZED MIZOGUCHI-TAKAHASHI CONTRACTION

  • DESHPANDE, BHAVANA;HANDA, AMRISH
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제22권3호
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    • pp.199-214
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    • 2015
  • We establish a common coupled fixed point theorem for hybrid pair of mappings under generalized Mizoguchi-Takahashi contraction on a noncomplete metric space, which is not partially ordered. It is to be noted that to find coupled oincidence point, we do not employ the condition of continuity of any mapping involved therein. An example is also given to validate our results. We improve, extend and generalize several known results.