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http://dx.doi.org/10.7468/jksmeb.2016.23.1.35

HUGE CONTRACTION ON PARTIALLY ORDERED METRIC SPACES  

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)
Publication Information
The Pure and Applied Mathematics / v.23, no.1, 2016 , pp. 35-51 More about this Journal
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.
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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