FIXED POINT COINCIDENCE THEOREMS FOR MAPPINGS SATISFYING A CONTRACTIVE CONDITION OF RATIONAL TYPE
Keywords:
weakly compatible mappings, compatible, monotone ????-nondecreasing, coincidence point, Partially ordered metric spacesAbstract
In this research, we prove some coincidence point theorems for nonlinear contractive mappings with rational expressions in the context of metric spaces endowed with a partial order. Hence, this work serves as an improvement to the available results in the literature, and illustrations to support our claims were also presented.
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References
A.C. Ran, M.C.B. Reurings, A fixed point theorem in partially ordered sets and some applications to marix equations, Proceedings
of the American Mathematical Society,132, 5, 1435-1443,2004.
J.J. Nieto, R. Rodriguez-Lopez,Contractive mapping theorems in partially ordered sets and applications to ordinary differential
equations, Oder, 22, 3, 223-239,2005.
H. Chatterji; On generalization of Banach contraction principle, Indian J. Pure. App. Math., 10, (1979), 400-403.
B. K.Dass and S. Gupta; An extension of Banach contraction principle through rational expression, Indian J. Pure. App. Math., 6,
(1975), 1455-1458.
R. N.Seshagiri and K. Kalyani; Fixed point theorems in partially ordered metric spaces with rational expressions, Information Science Letters, 10, (2021), 451-460.
R. N.Seshagiri and K. Kalyani; Fixed point theorems in partially ordered metric spaces, Heliyon, 6, 11, 7 pages (2020).
K. Kalyani, R. N.Seshagiri and M. Belay On fixed point theorems of monotone functions in ordered metric spaces, J. of Anal., (2021), 12
pages.
M. Arshad, E. Karapinar and J. Ahmad; Some unique fixed point theorems for rational contractions in partially ordered metric spaces, J. of Inequalities and Appl., (2013), 248-255.
R. N. Seshagiri, K. Kalyani and K. Prasad; Coincidence points in ordered metric spaces and its application, Punjab University J. of Math., 54(1), (2022), 33 – 43.
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