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HUGE CONTRACTION ON PARTIALLY ORDERED METRIC SPACES

Bhavana Deshpande|Amrish Handa|Chetna Kothari
한국수학교육학회|2016.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제23권 제1호|pp. 35-51

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참고문헌

키워드

coupled coincidence pointpartially ordered metric spaceO-compatiblegeneralized compatibilitymixed monotone mappingcoincidence pointgeneralized nonlinear con- tractiong-nondecreasing mappingcommuting mapping.
주제분류수학

초록

We establish coincidence point theorem for g-nondecreasing mappings satisfying generalized nonlinear contraction on partially ordered metric spaces. We also obtain the coupled coincidence point theorem for generalized compatible pair of mappings F, G:X²→X by using obtained coincidence point results. Furthermore, an example is also given to demonstrate the degree of validity of our hypothesis. Our results generalize, modify, improve and sharpen several well-known results.

Abstract

We establish coincidence point theorem for g-nondecreasing mappings satisfying generalized nonlinear contraction on partially ordered metric spaces. We also obtain the coupled coincidence point theorem for generalized compatible pair of mappings F, G:X²→X by using obtained coincidence point results. Furthermore, an example is also given to demonstrate the degree of validity of our hypothesis. Our results generalize, modify, improve and sharpen several well-known results.

참고문헌 (20)

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