논문KCI 등재
δ-convex Structure on Rectangular Metric Spaces concerning Kannan-type Contraction and Reich-type Contraction
한국수학교육학회|2022.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제29권 제4호|pp. 293-306
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
In the present paper, we introduce the notation of δ-convex rectangular metric spaces with the help of convex structure. We investigate fixed point results concerning Kannan-type contraction and Reich-type contraction in such spaces. We also propound an ingenious example in reference of given new notion.
Abstract
In the present paper, we introduce the notation of δ-convex rectangular metric spaces with the help of convex structure. We investigate fixed point results concerning Kannan-type contraction and Reich-type contraction in such spaces. We also propound an ingenious example in reference of given new notion.
참고문헌 (13)
- Aron, D., "Fixed point theorem for a sequence of multivalued nonself mappings in metrically convex metric spaces", Topol. Algebra Appl, 10, pp.1~10 (2022)
- Bakhtin, I. A., "The contraction mapping principle in quasi metric spaces", Functional Anal. Unianowsk Gos. Ped. Inst, 30, pp.26~37 (1989)
- Banach, S., "Surles operations dans les ensembles abstract et leur application aux equation integrals", Fundam Math, 3, pp.133~181 (1922)
- Beg, I., "An iteration scheme for asymptotically nonexpansive mappings on uniformly convex metric spaces", Nonlinear Anal. Forum, 6(1), pp.27~34 (2001)
- Beg, I., "Common fixed points and best approximation in convex metric spaces", Soochow J. Math, 33(4), pp.729~738 (2007)
- Beg, I., "Fixed point theorem for weakly inward multivalued maps on a convex metric space", Demonstr. Math, 39(1), pp.149~160 (2006)
- Branciari, A., "A Fixed point theorem of Banach Caccippoli type on a class of generalised metric spaces", Publ. Math. Debrecen, 57, pp.31~37 (2000)
- Chang, S. S., "Iterative sequences with errors for asymptotically quasi nonexpansive mappings in convex metric space", Arch. inequal. App, 2, pp.365~374 (2004)
- Czerwik, S., "Contraction mappings in b-metric spaces", Acta. Math. Inform. Univ. Ostraviensis, 1, pp.5~11 (1993)
- Ding, XP, "Iteration process for nonlinear mappings in convex metric spaces", J. Math. Anal. Appl, 32, pp.114~122 (1998)
- Dragomir, S. S., "Some Inequalities for m-Convex Functions", Studia Univ. Babes-Bolyai, Math, 38(1), pp.2128~ (1993)
- Lili Chen, "Several fixed point theorems in convex b-metric spaces and applications", MDPI, Mathematics, 8, pp.242~ (2020)
- Takahashi, W., "Convexity in metric space and nonexpansive mappings", I Kodai Math. Semin. Rep, 32, pp.142~149 (1970)
관련 논문AI추천
Fixed point theorems in controlled rectangular metric spacesAbdelkarim Kari, Mohamed Rossafi한국수학교육학회 · 이론수학과 교직수학2023 · 제30권 제2호Fixed point theorem via Meir-Keeler contraction in rectangular $M_b$-metric spaceMeenu, Mohammad Asim강원경기수학회 · 한국수학논문집2022 · 제30권 제1호Partial S-metric Spaces and Fixed Point Results이정례, Maryam Simkhah Asil, Shaban Sedghi한국수학교육학회 · 이론수학과 교직수학2022 · 제29권 제4호Double Controlled Cone Metric Spaces and the Related Fixed Point TheoremsTayebeh Lal Shateri한국수학교육학회 · 이론수학과 교직수학2023 · 제30권 제1호On the product of quasi-partial metric spacesRazieh Gharibi, Sedigheh Jahedi강원경기수학회 · 한국수학논문집2019 · 제27권 제3호Almost $\zeta$- contraction on $M$- metric spaceK. Saravanan, M. Pitchaimani강원경기수학회 · 한국수학논문집2020 · 제28권 제2호
이 간행물의 다른 논문 (8건)
Iterating a system of set-valued variational inclusion problems in semi-inner product spacesSumeera Shafipp. 255-275Some Types of Slant Submanifolds of Bronze Reimannian ManifoldsTuba ACET, Bilal Eftal ACETpp. 277-291Estimate of Third Order Hankel Determinant for a Certain Subclass of Analytic Functions associated with Cardioid DomainGurcharanjit Singh, Gagandeep Singhpp. 307-319A Class of Structured Frames in Finite Dimensional Hilbert SpacesT. C. Easwaran Nambudiri, Jineesh Thomas, N. M. Madhavan Namboothiripp. 321-334Best Proximity Point Theorems for Cyclic θ-φ-contraction on Metric Spaces이정례, Mohamed Rossafi, Abdelkarim Karipp. 335-352