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This article is cited in 15 scientific papers (total in 15 papers)
Generalized contractions to coupled fixed point theorems in partially ordered metric spaces
N. Seshagiri Raoa, Karusala Kalyanib a Department of Applied Mathematics School of Applied Natural Sciences Adama Science and Technology University, Adama, Ethiopia
b Department of Mathematics Vignan's Foundation for Science, Technology & Research, Andhra Pradesh, India
Abstract:
The purpose of this paper is to establish some coupled fixed point theorems for a self mapping satisfying certain rational type contractions along with strict mixed monotone property in a metric space endowed with partial order. Also, we have given the result of existence and uniqueness of a coupled fixed point for the mapping. This result generalize and extend several well known results in the literature.
Keywords:
partially ordered metric spaces, rational contractions, coupled fixed point, monotone property.
Received: 06.04.2020 Received in revised form: 25.04.2020 Accepted: 16.05.2020
Citation:
N. Seshagiri Rao, Karusala Kalyani, “Generalized contractions to coupled fixed point theorems in partially ordered metric spaces”, J. Sib. Fed. Univ. Math. Phys., 13:4 (2020), 492–502
Linking options:
https://www.mathnet.ru/eng/jsfu857 https://www.mathnet.ru/eng/jsfu/v13/i4/p492
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Abstract page: | 98 | Full-text PDF : | 66 | References: | 15 |
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