In this paper we present a novel model for purely discretetime self-similar processes and scale-invariant systems. The results developed are based on a new interpretation of the discrete-time scaling (equivalently dilation or contraction) operation which is defined through a mapping between discrete and continuous time. It is shown that it is possible to have continuous scaling factors through ...

We analytically determine the non-Hermitian mobility edges of a one-dimensional quasiperiodic lattice model with exponential decaying hopping and complex potentials as well its dual model, which is just generalization Ganeshan-Pixley-Das Sarma nonreciprocal nearest-neighboring hopping. The presence term destroys self-duality symmetry thus prevents us exploring localization-delocalization point ...

By making use of our previous result on a localization principle for biholomorphic mappings between equidimensional Fock-Bargmann-Hartogs domains in ℂn×ℂm with m≥2 and the same technique as study ℂn×ℂ, this paper we establish characterization biholomorphicity holomorphic self-mappings generalized domains. As special case this, obtain main recent by Guo, Feng Bi.

Results on common fixed points for pairs of single and multivalued mappings on a complete metric space are examined. Our work establishes a common fixed point theorem for a pair of generalized contraction self-maps and a pair of set-valued mappings.

The aim of this paper is to prove a common fixed point theorem for two pairs of self mappings in a cone metric space without assuming the normality of cone. Here we consider one pair of compatible mappings of type (R) and another pair of weakly compatible. Our results extend and modify the result of [11] and generalise many other results in the literature. −−−−−−−−−−−−−−−−−−−−−−−−−−−−

This paper is to prove a common fixed point theorem for four self maps which generalizes the result of Brian Fisher [1] by a weaker conditions such as weakly compatible mappings and associated sequence instead of commuting mappings and completeness of a metric space.

In this paper, we introduce the concept of intimate mappings in uniform spaces using the concept of E-distance introduced by Aamri and El Moutawakil [3] and establish a common fixed point theorem for quadruple intimate self mappings (without appeal to continuity) satisfying a rational inequality in uniform spaces.. An illustrative example is also discussed. Mathematics Subject Classifications: ...

Existence of common fixed points is established for two self-mappings satisfying a generalized contractive condition. The presented results generalize several well known comparable results in the literature. We also study well-posedness of a common fixed point problem related to these mappings. Full text

We introduce the concepts of ∗-diminishing orbital diameters and diminishing orbital diameters for a pair (f ,g) of self mappings in metric spaces and prove common fixed point theorems for these mappings. The results obtained in this paper extend properly the result of Fisher (1978). 2000 Mathematics Subject Classification. 54H25.