Fixed Point Results for a Class of Nonexpansive Type Mappings in Banach Spaces
Öz
Anahtar Kelimeler
Kaynakça
- [1] K. Aoyama and F. Kohsaka, Fixed point theorem for α-nonexpansive mappings in Banach spaces, Nonlinear Anal. 74(2011), no. 13, 4387-4391.
- [2] F. E. Browder, Fixed-point theorems for noncompact mappings in Hilbert space, Proc. Nat. Acad. Sci. U.S.A. 53(1965), 1272-1276.
- [3] F. E. Browder and W. V. Petryshyn, The solution by iteration of nonlinear functional equations in Banach spaces, Bull. Amer. Math. Soc. 72(1966), 571-575.
- [4] F. E. Browder, Convergence theorems for sequences of nonlinear operators in Banach spaces, Math. Z. 100(1967), 201-225.
- [5] C. Chidume, Geometric properties of Banach spaces and nonlinear iterations, volume 1965 of Lecture Notes in Mathematics, Springer-Verlag London, Ltd., London, (2009).
- [6] J. García-Falset, E. Llorens-Fuster, and T. Suzuki, Fixed point theory for a class of generalized nonexpansive mappings, J. Math. Anal. Appl. 375(2011), 185-195.
- [7] K. Goebel and M. Japon-Pineda, A new type of nonexpansiveness, In Proceedings of 8-th international conference on ?xed point theory and applications, Chiang Mai, (2007).
- [8] K. Goebel and W. A. Kirk, A fixed point theorem for asymptotically nonexpansive mappings, Proc. Amer. Math. Soc. 35(1972), 171-174.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Matematik
Bölüm
Araştırma Makalesi
Yazarlar
Rajendra Pant
*
0000-0001-9990-2298
South Africa
Prashant Patel
Bu kişi benim
South Africa
Rahul Shukla
Bu kişi benim
South Africa
Yayımlanma Tarihi
30 Eylül 2021
Gönderilme Tarihi
12 Şubat 2021
Kabul Tarihi
24 Mayıs 2021
Yayımlandığı Sayı
Yıl 2021 Cilt: 5 Sayı: 3
Cited By
Fixed points of $\rho$-nonexpansive mappings using MP iterative process
Advances in the Theory of Nonlinear Analysis and its Application
https://doi.org/10.31197/atnaa.980093Approximating Fixed Points of Nonexpansive Type Mappings via General Picard–Mann Algorithm
Computation
https://doi.org/10.3390/computation10090151Mann-Dotson's algorithm for a countable family of non-self Lipschitz mappings in hyperbolic metric space
Topological Algebra and its Applications
https://doi.org/10.1515/taa-2022-0134Generalized Enriched Nonexpansive Mappings and Their Fixed Point Theorems
Abstract and Applied Analysis
https://doi.org/10.1155/2023/5572893