Research Article

CONVERGENCE OF MULTI-STEP ITERATIVE SEQUENCE FOR NONLINEAR UNIFORMLY L-LIPSCHITZIAN MAPPINGS

Volume: 3 Number: 2 October 1, 2015
EN

CONVERGENCE OF MULTI-STEP ITERATIVE SEQUENCE FOR NONLINEAR UNIFORMLY L-LIPSCHITZIAN MAPPINGS

Abstract

In this paper, by using the proof method of Xue, Ra q and Zhou[19] some strong convergence results of multi-step iterative sequence are proved for nearly uniformly L- Lipschitzian mappings in real Banach spaces. Our results generalise and improve some recent known results.

Keywords

References

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  3. [3] Chang, S. S., Cho, Y. J., and Kim, J. K. Some results for uniformly L-Lipschitzian mappings in Banach spaces , Appl. Math. Lett., 22, (2009), 121-125.
  4. [4] Goebel, K. and Kirk, W. A. A xed point theorem for asymptotically nonexpansive mappings , Proc. Amer. Math. Soc., Vol. 35 , (1972), 171-174.
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  6. [6] Kim, J. K., Sahu, D. R. and Nam, Y. M.Convergence theorem for xed points of nearly uniformly L􀀀 Lipschitzian asymptotically generalized 􀀀 hemicontractive mappings, Nonl. Anal., 71, 99(2009), e2833- e2838.
  7. [7] Mann, W.R. Mean value methods in iteration, Proc. Amer. Math. Soc., 4, 99 (1953), 506-610 .
  8. [8] Moore, C. and Nnoli, B. V. C. Iterative solution of nonlinear equations involving set-valued uniformly accretive operators , Comput. Math. Anal. Appl., 42, (2001), 131-140 .

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

October 1, 2015

Submission Date

July 10, 2014

Acceptance Date

-

Published in Issue

Year 2015 Volume: 3 Number: 2

APA
Mogbademu, A. A. (2015). CONVERGENCE OF MULTI-STEP ITERATIVE SEQUENCE FOR NONLINEAR UNIFORMLY L-LIPSCHITZIAN MAPPINGS. Konuralp Journal of Mathematics, 3(2), 89-99. https://izlik.org/JA59RT33SH
AMA
1.Mogbademu AA. CONVERGENCE OF MULTI-STEP ITERATIVE SEQUENCE FOR NONLINEAR UNIFORMLY L-LIPSCHITZIAN MAPPINGS. Konuralp J. Math. 2015;3(2):89-99. https://izlik.org/JA59RT33SH
Chicago
Mogbademu, Adesanmi Alao. 2015. “CONVERGENCE OF MULTI-STEP ITERATIVE SEQUENCE FOR NONLINEAR UNIFORMLY L-LIPSCHITZIAN MAPPINGS”. Konuralp Journal of Mathematics 3 (2): 89-99. https://izlik.org/JA59RT33SH.
EndNote
Mogbademu AA (October 1, 2015) CONVERGENCE OF MULTI-STEP ITERATIVE SEQUENCE FOR NONLINEAR UNIFORMLY L-LIPSCHITZIAN MAPPINGS. Konuralp Journal of Mathematics 3 2 89–99.
IEEE
[1]A. A. Mogbademu, “CONVERGENCE OF MULTI-STEP ITERATIVE SEQUENCE FOR NONLINEAR UNIFORMLY L-LIPSCHITZIAN MAPPINGS”, Konuralp J. Math., vol. 3, no. 2, pp. 89–99, Oct. 2015, [Online]. Available: https://izlik.org/JA59RT33SH
ISNAD
Mogbademu, Adesanmi Alao. “CONVERGENCE OF MULTI-STEP ITERATIVE SEQUENCE FOR NONLINEAR UNIFORMLY L-LIPSCHITZIAN MAPPINGS”. Konuralp Journal of Mathematics 3/2 (October 1, 2015): 89-99. https://izlik.org/JA59RT33SH.
JAMA
1.Mogbademu AA. CONVERGENCE OF MULTI-STEP ITERATIVE SEQUENCE FOR NONLINEAR UNIFORMLY L-LIPSCHITZIAN MAPPINGS. Konuralp J. Math. 2015;3:89–99.
MLA
Mogbademu, Adesanmi Alao. “CONVERGENCE OF MULTI-STEP ITERATIVE SEQUENCE FOR NONLINEAR UNIFORMLY L-LIPSCHITZIAN MAPPINGS”. Konuralp Journal of Mathematics, vol. 3, no. 2, Oct. 2015, pp. 89-99, https://izlik.org/JA59RT33SH.
Vancouver
1.Adesanmi Alao Mogbademu. CONVERGENCE OF MULTI-STEP ITERATIVE SEQUENCE FOR NONLINEAR UNIFORMLY L-LIPSCHITZIAN MAPPINGS. Konuralp J. Math. [Internet]. 2015 Oct. 1;3(2):89-9. Available from: https://izlik.org/JA59RT33SH
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