Fixed point theorems for (\(\alpha, \psi\))-Meir-Keeler-Khan mappings


Authors

Najeh Redjel - 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. Abdelkader Dehici - 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. Erdal Karapinar - Department of Mathematics, Atilim University 06836, Incek, Ankara, Turkey. - Nonlinear Analysis and Applied Mathematics Research Group (NAAM), King Abdulaziz University, 21589, Jeddah, Saudi Arabia. Inci M. Erhan - Department of Mathematics, Atilim University 06836, Incek, Ankara, Turkey.


Abstract

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.


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ISRP Style

Najeh Redjel, Abdelkader Dehici, Erdal Karapinar, Inci M. Erhan, Fixed point theorems for (\(\alpha, \psi\))-Meir-Keeler-Khan mappings, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 6, 955--964

AMA Style

Redjel Najeh, Dehici Abdelkader, Karapinar Erdal, Erhan Inci M., Fixed point theorems for (\(\alpha, \psi\))-Meir-Keeler-Khan mappings. J. Nonlinear Sci. Appl. (2015); 8(6):955--964

Chicago/Turabian Style

Redjel, Najeh, Dehici, Abdelkader, Karapinar, Erdal, Erhan, Inci M.. "Fixed point theorems for (\(\alpha, \psi\))-Meir-Keeler-Khan mappings." Journal of Nonlinear Sciences and Applications, 8, no. 6 (2015): 955--964


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