In this paper, we establish some fixed point theorems in ordered partial metric spaces. An example is given to illustrate our obtained results.

Let £ be a vector bundle and P(E) its associated projective bundle. Some necessary conditions on the characteristic classes of E for existence of a fibrewise fixed-point free map P(E) -> P(E) are obtained.

This paper consists of two main results. The first one shows that if S is a left reversible semigroup of selfmaps on a complete metric space (M,d) such that there is a gauge function φ for which d(f(x),f (y)) ≤ φ(δ(Of (x,y))) for f ∈ S and x,y in M , where δ(Of (x,y)) denotes the diameter of the orbit of x,y under f , then S has a unique common fixed point ξ in M and, moreover, for any f in S a...

In this paper, we establish a sufficient condition for the controlla-bility of impulsive quasi-linear fractional mixed Volterra-Fredholm-type inte-grodifferential equations in Banach spaces. The results are obtained by using Banach contraction fixed point theorem combined with the fractional calculus theory.

This paper is devoted to study the existence of solutions for a class of initial value problems for impulsive fractional differential equations involving the Caputo fractional derivative in a Banach space. The arguments are based upon Mönch’s fixed point theorem and the technique of measures of noncompactness.

This paper is mainly concerned with the existence of solutions of impulsive fractional neutral functional differential equations in Banach Spaces. The results are obtained by using Krasnoselskii’s fixed point theorem.

We investigate Cuntz-Pimsner C∗-algebras associated with certain correspondences of the unit circle T. We analyze these C∗-algebras by analogy with irrational rotation algebras Aθ and Cuntz algebras On. We construct a Rieffel type projection, study the fixed point algebras of certain actions of finite groups, and calculate the entropy of a certain endomorphism. We also study the induced map of ...

A fixed point theorem of Hadzic [5] is generalized to locally convex spaces and the new result is applied to extend a recent result on invariant approximation of Jungck and Sessa [8] and Mukherjee and Som [11] for non-convex condition of domain and without affineness condition of mappings. Some known results [1], [6], [13] and [16] are also extended and improved. A property known as Property Γ ...

In this article, we study the existence and uniqueness of a common fixed point of family of self mappings satisfying implicit relation on a 2-Banach space. We also prove wellposedness of a common fixed point problem. Full text

In this paper we prove common fixed point Theorem for six mappings in probabilistic metric space. Our result extends and generalizes some known results in metric space and probabilistic metric spaces. Mathematical Subject Classification: 47H10, 54H25.