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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 경남대학교 기초과학연구소 Nonlinear Functional Analysis and Applications Nonlinear Functional Analysis and Applications Vol.26 No.4
- 발행연도
- 2021.12
- 수록면
- 663 - 684 (22page)
- DOI
- 10.22771/nfaa.2021.26.04.02
이용수
초록· 키워드
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In this paper, we present some fixed point results for a general class of nonexpansive mappings in the framework of Banach space and also proposed\ a new iterative scheme for approximating the fixed point of this class of mappings in the frame work of uniformly convex Banach spaces. Furthermore, we establish some basic properties and convergence results for our new class of mappings in uniformly convex Banach spaces. Finally, we present an application to nonlinear integral equation and also, a numerical example to illustrate our main result and then display the efficiency of the proposed algorithm compared to different iterative algorithms in the literature with different choices of parameters and initial guesses. The results obtained in this paper improve, extend and unify some related results in the literature.
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참고문헌 (19)
참고문헌 신청
M. Abass / 2014 / A new faster iteration process applied to constrained minimization and feasibility problems / Matematicki Vesnik 66:223~234
S. Banach / 1922 / Sur les op´erations dans les ensembles abstraits et leur applications aux S. ´equations int´egrales / Fund. Math 3:133~181
F. E. Browder / 1965 / Nonexpansive nonlinear operators in a Banach space / Proc. Nat. Acad. Sci. USA 54:1041~1044
P. Chuadchawna / 2020 / Fixed-point approximation of generalized nonexpansive mappings via generalized M-iteration in hyperbolic spaces / Inter.J. Math. Sci :1~8
J. G. Falset / 2011 / Fixed point theory for a class of generalizec nonexpansive mappings / J. Math. Anal. Appl 375:185~195
S. Banach / 1922 / Sur les op´erations dans les ensembles abstraits et leur applications aux S. ´equations int´egrales / Fund. Math 3:133~181
F. E. Browder / 1965 / Nonexpansive nonlinear operators in a Banach space / Proc. Nat. Acad. Sci. USA 54:1041~1044
P. Chuadchawna / 2020 / Fixed-point approximation of generalized nonexpansive mappings via generalized M-iteration in hyperbolic spaces / Inter.J. Math. Sci :1~8
J. G. Falset / 2011 / Fixed point theory for a class of generalizec nonexpansive mappings / J. Math. Anal. Appl 375:185~195
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