Geodesic
Generalized contractions to coupled fixed point theorems in partially ordered metric spaces
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 13 (2020) no. 4, pp. 492-502

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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. 
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     author = {N. Seshagiri Rao and Karusala Kalyani},
     title = {Generalized contractions to coupled fixed point theorems in partially ordered metric spaces},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2020_13_4_a10/}
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N. Seshagiri Rao; Karusala Kalyani. Generalized contractions to coupled fixed point theorems in partially ordered metric spaces. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 13 (2020) no. 4, pp. 492-502. http://geodesic.mathdoc.fr/item/JSFU_2020_13_4_a10/