EN
Common Fixed Point Theorem for Hybrid Pair of Mappings in a Generalized $(F,\xi,\eta)$-contraction in weak Partial $b$- Metric Spaces with an Application
Öz
In the present paper, we proved a common fixed-point theorem for two-hybrid pair of non-self mappings satisfying a generalized $(F, \xi, \eta) $- contraction condition under joint common limit range property in weak partial $b$- metric spaces. Our result is a generalization of many works available in metric space setting. An example and application to the integral equation are given to support the results proved in this paper.
Anahtar Kelimeler
- Common fixed point
- weak partial b - metric space
- weak F-contraction
- joint common limit range property
- non-self mappings.
Destekleyen Kurum
None
Proje Numarası
None
Kaynakça
- [1] M. Aamri, D. El Moutawakil, Some new common fixed point theorems under strict contractive conditions, J. Math. Anal. Appl. 270(1) ( 2002) 181-188.
- [2] E. Ameer, H. Aydi, M. Arshad, H. Alsamir, H. M.S. Noorani, Hybrid multi-valued type contraction mappings in αK- complete partial b-metric spaces and applications, Filomat 31(5) (2019) 1141-1148.
- [3] A.A. Aserkar, M.P. Gandhi, The Unique Common Fixed Point Theorem for Four Mappings Satisfying Common Limit in the Range Property, Mathematical Analysis I: Approximation Theory: ICRAPAM 2018 New Delhi India 306(161), (2020) 23-25.
- [4] H. Aydi, M.F. Bota, E. Karapinar, S. Moradi, A common fixed point for weak ϕ-contractions on b-metric spaces, Fixed Point Theory 13(2) (2012) 337-346.
- [5] H. Aydi, M. Abbas, C. Vetro, Partial Hausdorf and Nadler's fixed point theorem on partial metric space, Topology Appl. 159(14) (2012) 3234-3242.
- [6] H. Aydi, E. Karapinar, H. Yazidi, Modified F-Contractions via α-Admissible Mappings and Application to Integral Equa- tions, Filomat 31 (5) (2012) 1141-1148.
- [7] S. Banach, Sur Les opérations dans les ensembles abstraits et leur application aux équations intégrales, Fund. Math. 3 (1922) 133-181.
- [8] I. Beg, H.K. Pathak, A variant of Nadler's theorem on weak partial metric spaces with application to homotopy result, Vietnam J. Math. 46 (2018) 693-706.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Matematik
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
30 Aralık 2021
Gönderilme Tarihi
8 Mayıs 2021
Kabul Tarihi
23 Ocak 2021
Yayımlandığı Sayı
Yıl 2021 Cilt: 5 Sayı: 4
APA
Wangwe, L., & Kumar, S. (2021). Common Fixed Point Theorem for Hybrid Pair of Mappings in a Generalized $(F,\xi,\eta)$-contraction in weak Partial $b$- Metric Spaces with an Application. Advances in the Theory of Nonlinear Analysis and its Application, 5(4), 531-550. https://doi.org/10.31197/atnaa.934778
AMA
1.Wangwe L, Kumar S. Common Fixed Point Theorem for Hybrid Pair of Mappings in a Generalized $(F,\xi,\eta)$-contraction in weak Partial $b$- Metric Spaces with an Application. ATNAA. 2021;5(4):531-550. doi:10.31197/atnaa.934778
Chicago
Wangwe, Lucas, ve Santosh Kumar. 2021. “Common Fixed Point Theorem for Hybrid Pair of Mappings in a Generalized $(F,\xi,\eta)$-contraction in weak Partial $b$- Metric Spaces with an Application”. Advances in the Theory of Nonlinear Analysis and its Application 5 (4): 531-50. https://doi.org/10.31197/atnaa.934778.
EndNote
Wangwe L, Kumar S (01 Aralık 2021) Common Fixed Point Theorem for Hybrid Pair of Mappings in a Generalized $(F,\xi,\eta)$-contraction in weak Partial $b$- Metric Spaces with an Application. Advances in the Theory of Nonlinear Analysis and its Application 5 4 531–550.
IEEE
[1]L. Wangwe ve S. Kumar, “Common Fixed Point Theorem for Hybrid Pair of Mappings in a Generalized $(F,\xi,\eta)$-contraction in weak Partial $b$- Metric Spaces with an Application”, ATNAA, c. 5, sy 4, ss. 531–550, Ara. 2021, doi: 10.31197/atnaa.934778.
ISNAD
Wangwe, Lucas - Kumar, Santosh. “Common Fixed Point Theorem for Hybrid Pair of Mappings in a Generalized $(F,\xi,\eta)$-contraction in weak Partial $b$- Metric Spaces with an Application”. Advances in the Theory of Nonlinear Analysis and its Application 5/4 (01 Aralık 2021): 531-550. https://doi.org/10.31197/atnaa.934778.
JAMA
1.Wangwe L, Kumar S. Common Fixed Point Theorem for Hybrid Pair of Mappings in a Generalized $(F,\xi,\eta)$-contraction in weak Partial $b$- Metric Spaces with an Application. ATNAA. 2021;5:531–550.
MLA
Wangwe, Lucas, ve Santosh Kumar. “Common Fixed Point Theorem for Hybrid Pair of Mappings in a Generalized $(F,\xi,\eta)$-contraction in weak Partial $b$- Metric Spaces with an Application”. Advances in the Theory of Nonlinear Analysis and its Application, c. 5, sy 4, Aralık 2021, ss. 531-50, doi:10.31197/atnaa.934778.
Vancouver
1.Lucas Wangwe, Santosh Kumar. Common Fixed Point Theorem for Hybrid Pair of Mappings in a Generalized $(F,\xi,\eta)$-contraction in weak Partial $b$- Metric Spaces with an Application. ATNAA. 01 Aralık 2021;5(4):531-50. doi:10.31197/atnaa.934778
Cited By
Coincidence Fixed-Point Theorems for p -Hybrid Contraction Mappings in G b -Metric Space with Application
Abstract and Applied Analysis
https://doi.org/10.1155/2022/7688168