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초록
The self-mappings satisfying implicit relations were introduced in a previous study [Popa, Fixed point theorems for implicit contractive mappings, Stud. Cerc. St. Ser. Mat. Univ. Bacau 7 (1997), 129-133]. In this study, we introduce self-operators satisfying an ordered implicit relation and hence obtain their fixed points in the cone metric space under some additional conditions. We obtain a homotopy result as an application.
키워드
fixed point; implicit relation; cone metric space; contraction; FIXED-POINT THEOREMS; PARTIALLY ORDERED SETS; CONTRACTIVE MAPPINGS; IMPLICIT RELATION; MAPS
- 제목
- Some results in cone metric spaces with applications in homotopy theory
- 저자
- Nazam, Muhammad; Arif, Anam; Mahmood, Hasan; Park, Choonkil
- 발행일
- 2020-05
- 유형
- Article
- 저널명
- Open Mathematics
- 권
- 18
- 호
- 1
- 페이지
- 295 ~ 306