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By applying the Schauder's fixed point theorem some new sufficient conditions are established.
      
Approximation of fixed points of strictly pseudo-contractive mapping without Lipschitz assumption
      
This paper discusses the singular (n-1, 1) conjugate boundary value problem as follows by using a fixed point index theorem in cones .
      
In this paper, the M?nch fixed point theorem and an impulsive integral inequality is used to prove some existence theorems of solutions for nonlinear impulsive Volterra integral equations in Banach spaces that improve and extend the previous results.
      
This map possesses a nontrivial topologically transitive attractor Λ which is the closure of the unstable set of some hyperbolic fixed point.
      
For a fixed positive integer d, some conditions to insure dk(G)?d are given in this paper.
      
An existence theorem of positive solutions for elastic beam equation with both fixed end-points
      
This class of BVP's usually describes the deformation of the elastic beam with both fixed end-points.
      
Under suitable conditions and by using the fixed point theorem the existence, uniqueness and asymptotic behavior of solution for the boundary value problems are studied.
      
Iterative approximation of fixed points of (asymptotically) nonexpansive mappings
      
If T:C→C is (asymptotically) nonexpansive, then the modified Ishikawa iteration process defined by converges weakly to a fixed point of T, where {tn} and {sn} are sequences in [0, 1] with some restrictions.
      
Our approach is based on the fixed point theorem in cones.
      
It is shown that any fixed point of each Lipschitzian, strictly pseudocontractive mapping T on a closed convex subset K of a Banach space X may be norm approximated by Ishikawa iterative procedure.
      
Our approach is based on the Leray-Schauder fixed point theorem.
      
Ishikawa iterative procedure for approximating fixed points of strictly pseudocontractive mappings
      
It is shown that any fixed point of a Lipschitzian, strictly pseudocontractive muping T on a closed convex subset K of a Banach space X may be approximated by Ishikawa iterative procedure.
      
An approximate expression related with RSA fixed points
      
Let T=T(n,e,a) be the number of fixed points of RSA (n,e) that are co-prime with n=pq, and A,B be sets of prime numbers in (1,x) and (1,y) respectively.
      
In this paper, the approximation problems of Ishikawa iteration with errors of fixed points for asymptotically nonexpansive mappings and asymptotically pseudocontractive mappings in arbitrary real Banach spaces are investigated.
      
By using Krasnoselskii's fixed-point theorem on a suitable cone, several existence results and corresponding properties of positive solutions of nonlocal boundary value problem for nonlinear retarded differential equation are obtained.
      
 

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