HUGE CONTRACTION ON PARTIALLY ORDERED METRIC SPACES

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2016, v.23 no.1, pp.35-51

https://doi.org/10.7468/jksmeb.2016.23.1.35

DESHPANDE, BHAVANA (DEPARTMENT OF MATHEMATICS, GOVT. ARTS & SCIENCE P. G. COLLEGE)
HANDA, AMRISH (DEPARTMENT OF MATHEMATICS, GOVT. P. G. ARTS AND SCIENCE COLLEGE)
KOTHARI, CHETNA (DEPARTMENT OF MATHEMATICS, GOVT. P. G. COLLEGE)

DESHPANDE, BHAVANA, HANDA, AMRISH, & KOTHARI, CHETNA. (2016). HUGE CONTRACTION ON PARTIALLY ORDERED METRIC SPACES. 한국수학교육학회지시리즈B:순수및응용수학, 23(1), 35-51, https://doi.org/10.7468/jksmeb.2016.23.1.35

복사

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 : X<sup>2</sup> → 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.

keywords: coincidence point, coupled coincidence point, generalized nonlinear contraction, partially ordered metric space, O-compatible, generalized compatibility, g-nondecreasing mapping, mixed monotone mapping, commuting mapping

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논문 상세

Vol.23 No.1

HUGE CONTRACTION ON PARTIALLY ORDERED METRIC SPACES

HUGE CONTRACTION ON PARTIALLY ORDERED METRIC SPACES

Abstract

참고문헌

한국수학교육학회지시리즈B:순수및응용수학