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Coupled fixed point theorems with rational expressions in partially ordered metric spaces

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Abstract

The purpose of this paper is to establish some coupled fixed point theorems using a contractive condition of rational type with monotone property in the frame work of partially ordered metric space. The existence and uniqueness of the result is also presented for the coupled fixed point to the mappings. The result presented over here generalize and extend several well-know results in the literature.

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Authors and Affiliations

  1. Department of Applied Mathematics, School of Applied Natural Science, Adama Science and Technology University, Post Box No. 1888, Adama, Ethiopia

    N. Seshagiri Rao

  2. Department of Mathematics, Vignan’s Foundation for Science, Technology and Research, Vadlamudi, Andhra Pradesh, 522213, India

    K. Kalyani

Authors
  1. N. Seshagiri Rao
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  2. K. Kalyani
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All authors contributed equally to the writing of this paper. All authors read and approved the final manuscript.

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Correspondence to N. Seshagiri Rao.

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Seshagiri Rao, N., Kalyani, K. Coupled fixed point theorems with rational expressions in partially ordered metric spaces. J Anal 28, 1085–1095 (2020). https://doi.org/10.1007/s41478-020-00236-y

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  • DOI: https://doi.org/10.1007/s41478-020-00236-y

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