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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 경남대학교 기초과학연구소 Nonlinear Functional Analysis and Applications Nonlinear Functional Analysis and Applications Vol.23 No.1
- 발행연도
- 2018.3
- 수록면
- 97 - 115 (19page)
- DOI
- 10.22771/nfaa.2018.23.01.08
이용수
초록· 키워드
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The aim of this paper is to prove some unified common fixed point theoremsunder contractive conditions of integral type for two pairs of weakly compatible mappings satisfying the property (E.A) in complex valued symmetric spaces using an implicit relation.
Some illustrative examples are also given which substantiate the usefulness of our utilized implicit relation. Our results generalize and improve some of the existing results in theliterature and at the same time deduce new contractions of integral type in the context of complex fixed point theory. We apply one of our results to examine the existence and uniqueness of common solution for a system of Volterra-Hammerstein integral equations.
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참고문헌 (22)
참고문헌 신청
M. Aamri / 2002 / Some new common fixed point theorems under strict contractive conditions / J. Math. Anal. Appl 270(1):181~188
M. Abbas / 2015 / Common fixed points of generalized cocyclic mappings in complex valued metric spaces / Abstract and Appl. Anal. :147303
J. Ali / 2008 / An implicit function implies several contraction conditions / Sara-jevo Jour. of Math 17(4):269~285
A. Aliouche / 2006 / A common fixed point theorem for weakly compatible mappings in sym-metric spaces satisfying a contractive condition of integral type / J. Math. Anal. Appl., 322(2):796~802
A. Aliouche / 2007 / Common fixed point theorems via an implicit relation and new properties / Soochow J. of Math 33(4):593~601
M. Abbas / 2015 / Common fixed points of generalized cocyclic mappings in complex valued metric spaces / Abstract and Appl. Anal. :147303
J. Ali / 2008 / An implicit function implies several contraction conditions / Sara-jevo Jour. of Math 17(4):269~285
A. Aliouche / 2006 / A common fixed point theorem for weakly compatible mappings in sym-metric spaces satisfying a contractive condition of integral type / J. Math. Anal. Appl., 322(2):796~802
A. Aliouche / 2007 / Common fixed point theorems via an implicit relation and new properties / Soochow J. of Math 33(4):593~601
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