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Sahand Communications in Mathematical Analysis
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Afshari, H., Sajjadmanesh, M. (2015). Fixed point theorems for $\alpha$-contractive mappings. Sahand Communications in Mathematical Analysis, 02(2), 65-72.
Hojjat Afshari; Mojtaba Sajjadmanesh. "Fixed point theorems for $\alpha$-contractive mappings". Sahand Communications in Mathematical Analysis, 02, 2, 2015, 65-72.
Afshari, H., Sajjadmanesh, M. (2015). 'Fixed point theorems for $\alpha$-contractive mappings', Sahand Communications in Mathematical Analysis, 02(2), pp. 65-72.
Afshari, H., Sajjadmanesh, M. Fixed point theorems for $\alpha$-contractive mappings. Sahand Communications in Mathematical Analysis, 2015; 02(2): 65-72.

Fixed point theorems for $\alpha$-contractive mappings

Article 6, Volume 02, Issue 2, Summer and Autumn 2015, Page 65-72  XML PDF (79.74 K)
Document Type: Research Paper
Authors
Hojjat Afshari email ; Mojtaba Sajjadmanesh
Faculty of Basic Science, University of Bonab, P.O.Box 5551761167, Bonab, Iran.
Abstract
In this paper we prove existence the common fixed point with different conditions for $\alpha-\psi$-contractive mappings. And generalize weakly Zamfirescu map in to modified weakly Zamfirescu map.
Keywords
$alpha$-contractive map; Modified weakly Zamfirescu map; Fixed point
References
[1] D. Ariza-Ruiza, A. Jimenez-Melado, A continuation method for weakly Kannan maps, fixed point theory and applications, (2010), Art. Id 321594, 12pp.

[2] D. Ariza-Ruiza, A. Jimenez-Melado, Genaro Lopez-acedo, A fixed point theorem for weakly Zamfirescu mappings, Nonlinear analysis (2010).

[3] S. Banach, Sur les operations dans les ensembles abstraits et leur application aux equations integrals, Fund. Math.,  3 (1922) 133-181.

[4] S. K. Chatterjea, Fixed-point theorems, C. R. Acad. Bulgare Sci., 25 (1972) 727-730.

[5] J. Dugundji, A. Granas, Weakly contractive maps and elementary domain invariance theorem, Bull. Soc. Math. Greece (N. S) 19, No.1 (1978) 141-151.

[6] R. Kannan, Some results on fixed points, Bull Calcutta Math. Soc., 60 (1968), 71-76.

[7] B. Samet, C. Vetro, P. Vetro, Fixed-point theorems for α-Ψ-cotractive type mappings, Nonlinear Analysis (2011), .

[8] T. Zamfirescu, Fixed-point theorems in metric spacesArch. Math., 23 (1972), 292-298.

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