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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.4
- 발행연도
- 2018.12
- 수록면
- 693 - 714 (22page)
- DOI
- 10.22771/nfaa.2018.23.04.08
이용수
초록· 키워드
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In this article, we define the notion of a non-negative function satisfying property of oneness. Utilizing this concept, certain unified fixed point results are established. Furthermore generalized φ-contractions mapping and some fixed point results in the framework of symmetric space are also presented. Some well-known results from the existence literature are obtained through our introduced setting. Results are substantiated by some innovative examples with the aid of visualization of surfaces. Moreover applications of obtained theory for the existence for the system of integral equations as well as for the system of functional equations occurred in dynamic programming are also presented.
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참고문헌 (20)
참고문헌 신청
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
H. Aydi / 2016 / On fixed point results for alpha-implicit contrac-tions in quasi-metric spaces and consequences / Nonlinear Anal.: Model. and Control 21(1):40~56
R. Bellman / 1978 / Functional equations arising in dynamic programming / Ae-quationes Math 17:1~18
C.J.R. Borges / 1970 / On continuously semimetrizable and stratifiable spaces / Proc. Amer. Math. Soc 24:193~196
S.H. Cho / On coincidence and fixed point theorems in symmetric spaces / Fixed Point Theory and Appl 2008:562130
H. Aydi / 2016 / On fixed point results for alpha-implicit contrac-tions in quasi-metric spaces and consequences / Nonlinear Anal.: Model. and Control 21(1):40~56
R. Bellman / 1978 / Functional equations arising in dynamic programming / Ae-quationes Math 17:1~18
C.J.R. Borges / 1970 / On continuously semimetrizable and stratifiable spaces / Proc. Amer. Math. Soc 24:193~196
S.H. Cho / On coincidence and fixed point theorems in symmetric spaces / Fixed Point Theory and Appl 2008:562130
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