본문 바로가기
KERD
논문KCI 등재

A Fixed Point Theorem in Banach Algebras Involving Three Operators with Applications

B. C. Dhage
경북대학교 자연과학대학 수학과|2004.03|Kyungpook Mathematical Journal|제44권 제1호|pp. 145-155

3

조회

0

다운로드

3

인용

0

참고문헌

주제분류수학

초록

Abstract

In this article, it is shown that some of the hypotheses of a fixed point theorem of the present author involving three operators in a Banach algebra are redundant. Our claim is also illustrated with the applications to some nonlinear functional integral equations for proving the existence result.

참고문헌 (9)

  1. "PanAmer.Math. J.", 12(2), pp.101~109 (2002)
  2. "On nonlinear contractions", 20, pp.456~464 (1969)
  3. "A ？xed point theorem of Krasnoselskii", 11, pp.85~88 (1998)
  4. "On some variants of Schauder's ？ xed point principle and applications to nonlinear integral equations", 25, pp.603~611 (1998)
  5. "xed point theorem and applications to nonlinear integral equations", pp.53~59 (1987)
  6. "On existence theorems for nonlinear integral equations in Banach alge- bras via ？xed point technique", 17, pp.33~45 (2001)
  7. "A ？xed point theorem in Banach algebras with applications", 16 (2003)
  8. "Amer. Math. Soc. Trans.", 10 2, pp.345~409 (1958)
  9. "Fixed Point Theorems" (1980)

관련 논문AI추천

Some Nonlinear Alternatives in Banach Algebras with Applications ⅡB. C. Dhage경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제2호Fixed point theorems on generalized cone metric spaces over Banach algebras and applicationsJiandong Yin, Qianqian Leng대한수학회 · 대한수학회지2018 · 제55권 제6호A fixed point theorem in Hilbert $C^*$-modulesAsadollah Niknam, Hasan Ranjbar강원경기수학회 · 한국수학논문집2022 · 제30권 제2호Common fixed point and invariant approximation results김종규, Mujahid Abbas대한수학회 · 대한수학회보2007 · 제44권 제3호Fixed point in Banach *-algebras with an application to functional integral equation of fractional orderGoutam Das, Nilakshi Goswami강원경기수학회 · 한국수학논문집2024 · 제32권 제4호Iterative approximation of fixed points for $\phi$-hemicontractive operators in Banach spacesShin Min Kang, Yanjuan Li, Zeqing Liu, Zhefu An대한수학회 · 대한수학회논문집2004 · 제19권 제1호

이 간행물의 다른 논문 (17건)

A Note on Regularity in Matrix SemiringsShamik Ghoshpp. 1-4On Some Generalization on the Absolute Norlund Summability Factors of Infinite SeriesW. T. Sulaimanpp. 5-10Characterization on Some Related Convergent SeriesW. T. Sulaimanpp. 11-19Commutative Group Algebras of Direct Sums of Countable Abelian GroupsPeter Danchevpp. 21-29The Extension Problem for Exponentially Convex FunctionsA. M. Zabel, Maha A. Bajnaidpp. 31-39
원문 보기