The NSF(201701D0503-9)of Shanxi Province;the Innovation Foundation for College Teaching Team of Shanxi University of Finance and Economics;2015 Education and Teaching Reform Project(2015234)of Shanxi University of Finance and Economics
In this paper, a class of mixed monotone operators is studied. Some new fixed point theorems are presented by means of partial order theory, and the uniqueness and existence of fixed points are obtained without assumi...
The NSF(11101323)of China;the SRP(14JK1300)of Shaanxi Education Office
Through the paper, a general solution of a mixed type functional equation in fuzzy Banach space is obtained and by using the fixed point method a generalized Hyers-Ulam-Rassias stability of the mixed type functional e...
The NSF(11271150)of China;China Government Scholarship
In this paper, we present some fixed point theorems of iterated function systems consisting of α-ψ-contractive type mappings in Fractal space constituted by the compact subset of metric space and iterated function s...
In this article, multiple solutions for the eigenvalue problem of nonlinear fractional differential equation is considered. We obtain the existence and multiplicity results of positive solutions by using some fixed po...
The NSF(11271150)of China;the China Goverment Scholarship
In this paper, we present some important generalizations of the Banach contraction principle, in which the Lipschitz constant k is replaced by some real- valued control function. For the applications to the fractal sp...
By using fixed point theorem, multiple positive solutions for some fourth- order multi-point boundary value problems with nonlinearity depending on all order derivatives are obtained. The associated Green's functions...
The NSF (11201109) of China;the NSF (10040606Q50) of Anhui Province;Excellent Talents Foundation (2012SQRL165) of University of Anhui Province;the NSF (2012kj09) of Heifei Normal University
In this paper, we investigate the existence of positive solutions of a class higher order boundary value problems on time scales. The class of boundary value problems educes a four-point (or three-point or two-point...
The concept of finitely continuous topological space is introduced and the basic properties of the space are given. Several continuous selection theorems and fixed point theorems for Ф-maps are established, and as ap...
The NSF(9452902001003278,10452902001005845) of Guangdong Province
In this paper, we establish a fixed point theorem for set-valued mapping on a topological vector space without "local convexity". And we also establish some generalized Ky Fan's minimax inequalities for set-value v...