한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제24권2호
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  • Pages.79-98
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  • 2017
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  • 1226-0657(pISSN)
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  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
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COUPLED COINCIDENCE POINT RESULTS FOR GENERALIZED SYMMETRIC MEIR-KEELER CONTRACTION ON PARTIALLY ORDERED METRIC SPACES WITH APPLICATION

  • Deshpande, Bhavana (Department of Mathematics, B. S. Govt. P. G. College) ;
  • Handa, Amrish (Department of Mathematics, Govt. P. G. Arts and Science College)
  • 투고 : 2016.12.13
  • 심사 : 2017.05.10
  • 발행 : 2017.05.31
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초록

We establish a coupled coincidence point theorem for generalized compatible pair of mappings $F,G:X{\times}X{\rightarrow}X$ under generalized symmetric Meir-Keeler contraction on a partially ordered metric space. We also deduce certain coupled fixed point results without mixed monotone property of $F:X{\times}X{\rightarrow}X$. An example supporting to our result has also been cited. As an application the solution of integral equations are obtain here to illustrate the usability of the obtained results. We improve, extend and generalize several known results.

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참고문헌

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