Geodesic
Fixed point theorems for ($\alpha, \psi$)-Meir-Keeler-Khan mappings
Redjel, Najeh1 ; Dehici, Abdelkader2 ; Karapinar, Erdal3 ; Erhan, Inci M.4
1 Laboratory of Informatics and Mathematics, University of Souk-Ahras, P.O. Box 1553, Souk-Ahras 41000, Algeria;Department of Mathematics, University of Constantine 1, Constantine 25000, Algeria
2 Laboratory of Informatics and Mathematics, University of Souk-Ahras, P.O. Box 1553, Souk-Ahras 41000, Algeria;Department of Mathematics, University of Constantine 1, Constantine 25000, Algeria
3 Department of Mathematics, Atilim University 06836, Incek, Ankara, Turkey;Nonlinear Analysis and Applied Mathematics Research Group (NAAM), King Abdulaziz University, 21589, Jeddah, Saudi Arabia
4 Department of Mathematics, Atilim University 06836, Incek, Ankara, Turkey
Journal of nonlinear sciences and its applications, Tome 8 (2015) no. 6, p. 955-964.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, we establish fixed point theorems for a ($\alpha,\psi$ )-Meir-Keeler-Khan self mappings. The main result of our work is an extension of the theorem of Khan [M. S. Khan, Rend. Inst. Math. Univ. Trieste. Vol VIII, Fase., 10 (1976), 1-4]. We also give some consequences.
DOI : 10.22436/jnsa.008.06.06
Classification : 47H10, 54H25
Keywords: Complete metric space, (c)-comparison function, fixed point, (\(\alpha, \psi\))-Meir-Keeler-Khan mapping, \(\alpha\)-admissible mapping.

Redjel, Najeh 1 ; Dehici, Abdelkader 2 ; Karapinar, Erdal 3 ; Erhan, Inci M. 4

1 Laboratory of Informatics and Mathematics, University of Souk-Ahras, P.O. Box 1553, Souk-Ahras 41000, Algeria;Department of Mathematics, University of Constantine 1, Constantine 25000, Algeria
2 Laboratory of Informatics and Mathematics, University of Souk-Ahras, P.O. Box 1553, Souk-Ahras 41000, Algeria;Department of Mathematics, University of Constantine 1, Constantine 25000, Algeria
3 Department of Mathematics, Atilim University 06836, Incek, Ankara, Turkey;Nonlinear Analysis and Applied Mathematics Research Group (NAAM), King Abdulaziz University, 21589, Jeddah, Saudi Arabia
4 Department of Mathematics, Atilim University 06836, Incek, Ankara, Turkey 
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Redjel, Najeh; Dehici, Abdelkader; Karapinar, Erdal; Erhan, Inci M. Fixed point theorems for (\(\alpha, \psi\))-Meir-Keeler-Khan mappings. Journal of nonlinear sciences and its applications, Tome 8 (2015) no. 6, p. 955-964. doi : 10.22436/jnsa.008.06.06. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.008.06.06/

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