Fixed Point Results for α-ψ-Contractive Mappings Including Almost Contractions and Applications
Yükleniyor...
Tarih
2014
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Hindawi Publishing Corp
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In the recent paper (B. Samet, C. Vetro, and P. Vetro, Fixed point theorems for alpha-psi-contractive type mappings, Nonlinear Analysis. Theory, Methods and Applications, 75 (2012), 2154-2165.), the authors introduced the concept of alpha-admissible maps on metric spaces. Using this new concept, they presented some nice fixed point results. Also, they gave an existence theorem for integral equation to show the usability of their result. Then, many authors focused on this new concept and obtained a lot of fixed point results, which are used for existence theorems. In this paper, we not only extend some of the recent results about this direction but also generalize them. Then, we give some examples to show our results are proper extensions. Furthermore, we use our results to obtain the existence and uniqueness result for a solution of fourth order two-point boundary value problem.
Açıklama
Altun, Ishak/0000-0002-7967-0554; Minak, Gulhan/0000-0002-3711-9633
Anahtar Kelimeler
Kaynak
Abstract And Applied Analysis
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
Sayı
Künye
Gonca Durmaz, Gülhan Mınak, Ishak Altun, "Fixed Point Results for α-ψ-Contractive Mappings Including Almost Contractions and Applications", Abstract and Applied Analysis, vol. 2014, Article ID 869123, 10 pages, 2014.
