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

Bhavana Deshpande|Amrish Handa
한국수학교육학회|2015.08|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제22권 제3호|pp. 199-214

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참고문헌

키워드

coupled coincidence pointcoupled fixed pointw-compatibilitygeneralized Mizoguchi- Takahashi contractionF-weakly commutativity.
주제분류수학

초록

We establish a common coupled ¯xed 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 ¯nd coupled coincidence 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.

Abstract

We establish a common coupled ¯xed 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 ¯nd coupled coincidence 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.

참고문헌 (31)

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관련 논문AI추천

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