Some Random Fixed Point Theorems for (q,L)-Weak Contractions ABSTRACT | FULL TEXT

References (18)

1. Aage, C. T. and Salunke, J. N. On common fixed points for contractive type mappings in cone metric spaces, Bull. Math. Anal. Appl. 1 (3), 10–15, 2009.
2. Achari, J. On a pair of random generalized non-linear contractions, Int. J. Math. Math. Sci. 6 (3), 467–475, 1983.
3. Arens, R. F. A topology for spaces of transformations, Annals of Math. 47 (2), 480–495,
4. Banach, S. Sur les op´erations dans les ensembles abstraits et leur application aux equations integrales, Fund. Math. 3, 133–181, 1922.
5. Berinde, V. Approximating fixed points of weak contractions using Picard iteration Nonlin- ear Anal. Forum 9 (1), 43–53, 2004.
6. Berinde, V. Iterative approximation of fixed points (Springer-Verlag, Berlin, 2007).
7. Berinde, V. Approximating common fixed points of noncommuting almost contractions in metric spaces, Fixed Point Theory 11 (2), 179–188, 2010.
8. Berinde, V. General constructive fixed point theorems for ´Ciri´c-type almost contractions in metric spaces, Carpathian J. Math. 24 (2), 10–19, 2008.
9. Bharucha-Reid, A. T. Random integral equations (Academic Press, New York, 1972).
10. Bharucha-Reid, A. T. Fixed point theorems in probabilistic analysis, Bull. Amer. Math. Soc. (5), 641–657, 1976.
11. Chatterjea, S. K. Fixed point theorems, C. R. Acad. Bulgare Sci. 25, 727–730, 1972. ´Ciri´c, Lj. B. A generalization of BanachÆs contraction principle, Proc. Am. Math. Soc. 45, –273, 1974. Hanˇs, O. Reduzierende zuf¨allige transformationen, Czechoslovak Math. Journal 7 (82), 154–, 1957. Hanˇs, O. Random operator equations, Proceedings of 4th Berkeley Sympos. Math. Statist. and Prob., Vol. II, University of California Press, California, part I, 185–202, 1961.
12. Hicks, T. L. and Rhoades, B. E. A Banach type fixed point theorem, Math. Japonica 24 (3), –330, 1979.
13. Itoh, S. Random fixed-point theorems with an application to random differential equations in Banach spaces, J. Math. Anal. Appl. 67 (2), 261–273, 1979.
14. Ivanov, A. A. Fixed points of metric space mappings (in Russian), Isledovaniia po topologii. II, Akademia Nauk, Moskva, 5–102, 1976.
15. Joshi, M. C. and Bose, R. K. Some Topics in Non Linear Functional Analysis (Wiley Eastern Ltd., New Delhi, 1984).
16. Kannan, R. Some results on fixed points, Bull. Cal. Math. Soc. 60, 71–76, 1968.
17. Lahiri, B. K. and Das, P. Fixed point of Ljubomir ´Ciri´c’s quasi-contraction mapping in a generalized metric space, Publ. Math. Debrecen 61 (3-4), 589–594, 2002.
18. Lee, A. C. H. and Padgett, W. J. On random nonlinear contraction, Math. Systems Theory ii, 77–84, 1977. M