Author:
Abdeljawad Thabet,Karapınar Erdal,Panda Sumati Kumari,Mlaiki Nabil
Abstract
AbstractIn this paper, we consider a new distance structure, extended Branciari b-distance, to combine and unify several distance notions and obtain fixed point results that cover several existing ones in the corresponding literature. As an application of our obtained result, we present a solution for a fourth-order differential equation boundary value problem.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference48 articles.
1. Branciari, A.: A fixed point theorem for mappings satisfying a general contractive condition of integral type. Int. J. Math. Math. Sci. 29(9), 531–536 (2002)
2. Aydi, H., Karapınar, E., Samet B.: Fixed points for generalized $(\alpha,\psi)$-contractions on generalized metric spaces. J. Inequal. Appl. 2014, Article ID 229 (2014)
3. Aydi, H., Karapınar, E., Lakzian, H.: Fixed point results on the class of generalized metric spaces. Math. Sci. 6, Article ID 46 (2012)
4. Azam, A., Arshad, M.: Kannan fixed point theorems on generalized metric spaces. J. Nonlinear Sci. Appl. 1, 45–48 (2008)
5. Branciari, A.: A fixed point theorem of Banach–Caccioppoli type on a class of generalized metric spaces. Publ. Math. (Debr.) 57, 31–37 (2000)
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