Geodesic
On some unique fixed point theorems with rational expressions in partially ordered metric spaces
Serdica Mathematical Journal, Tome 47 (2021) no. 1, pp. 13-30 Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library

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The aim of this paper is to establish some fixed point results of a self mapping satisfying generalized rational contraction conditions in a metric space endowed with a partial order. These results generalized and widen the result of Sharma and Yuel from metrical space to partially ordered metric space and also a few well known results in an ordered metric space. Some examples are illustrated to support the usability of the presented results.
Keywords: partially ordered metric spaces, generalized rational contractions, fixed point, 54H25, 47H10 
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     author = {Seshagiri Rao, Namana and Karusala, Karusala},
     title = {On some unique fixed point theorems with rational expressions in partially ordered metric spaces},
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Seshagiri Rao, Namana; Karusala, Karusala. On some unique fixed point theorems with rational expressions in partially ordered metric spaces. Serdica Mathematical Journal, Tome 47 (2021) no. 1, pp. 13-30. http://geodesic.mathdoc.fr/item/SMJ2_2021_47_1_a1/