In this article, we introduce a new notion of proximal contraction, named as generalized S-proximal contraction and derive a common best proximity point theorem for proximally commuting non-self mappings, thereby yielding the common optimal approximate solution of some fixed point equations when there is no common solution. We furnish illustrative examples to highlight our results. We extend some results existing in the literature.
Nashine, H., Kadelburg, Z. (2017). Existence of common best proximity points of generalized $S$-proximal contractions. International Journal of Nonlinear Analysis and Applications, 8(2), 1-8. doi: 10.22075/ijnaa.2017.859.1153
MLA
Hemant Nashine; Zoran Kadelburg. "Existence of common best proximity points of generalized $S$-proximal contractions". International Journal of Nonlinear Analysis and Applications, 8, 2, 2017, 1-8. doi: 10.22075/ijnaa.2017.859.1153
HARVARD
Nashine, H., Kadelburg, Z. (2017). 'Existence of common best proximity points of generalized $S$-proximal contractions', International Journal of Nonlinear Analysis and Applications, 8(2), pp. 1-8. doi: 10.22075/ijnaa.2017.859.1153
VANCOUVER
Nashine, H., Kadelburg, Z. Existence of common best proximity points of generalized $S$-proximal contractions. International Journal of Nonlinear Analysis and Applications, 2017; 8(2): 1-8. doi: 10.22075/ijnaa.2017.859.1153
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