Mathematics

In this article, we utilize the notions of the property (E.A.) and common property (E. A.) in the setting of modified intuitionistic fuzzy metric spaces to prove a result interrelating the property (E.A.) with common property (E.A.). Also using the common property (E.A.), we prove some common fixed point theorems in modified intuitionistic fuzzy metric spaces satisfying an implicit relation. Some related results are also derived besides furnishing an illustrative example. AMS Subject Classification : Primary 54H25; Secondary 47H10.

We examine the unboundedness, persistence, boundedness, uniqueness, and existence of non-negative equilibrium of an exponential symmetric difference equations system: Ωn+1=α1+β1Ωn+γ1Ωn−1e−(Ωn+ϖn), ϖn+1=α2+β2ϖn+γ2ϖn−1e−(Ωn+ϖn),n=0,1,⋯, whereby initial values Ω−1,ϖ−1,Ω0,ϖ0 and parameters α1,α2 are non-negative real numbers and β1,β2∈(0,1) and γ1,γ2≤0. We will discuss asymptotic global and local stability and the convergence rate of this system. Ultimately, to check our results, we set out some numerical explanations.

In this paper we develop the necessary tools to generalize the Q K-type function classes to the case of the monogenic functions defined in the unit ball of R 3 , some important basic properties of these functions are also considered. Further, we show some relations between Q K (p, q) and α-Bloch spaces of quaternion-valued functions.

In this paper, we study composition operators on some Möbius invariant Banach function spaces like Bloch and F (p, q, s) spaces. We give a Carleson measure characterization on F (p, q, s) spaces, then we use this Carleson measure characterization of the compact compositions on F (p, q, s) spaces to show that every compact composition operator on F (p, q, s) spaces is compact on a Bloch space. Also, we give conditions to clarify when the converse holds.

In this paper we introduce a new class of functions, called NK-type space of analytic functions by the help of a nondecreasing function K : [0, ∞) → [0, ∞). Further, under mild conditions on the weight function K we characterize lacunary series in NK space. Finally, we study the boundedness and compactness of composition operators between NK and Bergman spaces. Mathematics Subject Classification (2000). Primary 47B33; 47B38 Secondary 30H05.

Our goal in this paper is to introduce some new sequences of some mero-morphic function spaces, which will be called b q and q K-sequences. Our study is motivated by the theories of normal, Q # K and meromorphic Besov functions. For a non-normal function f the sequences of points {a n } and {b n } for which lim n→∞ (1 − |a n | 2) f # (a n) = +∞ and lim n→∞ ∆ f # (z) q (1 − |z| 2) q−2 (1 − |ϕ a n (z)| 2) s dA(z) = +∞ or lim n→∞ ∆ f # (z) 2 K(z, a n)dA(z) = +∞ are considered and compared with each other. Finally, non-normal mero-morphic functions are described in terms of the distribution of the values of these meromorphic functions.

We initiate and develop some new perturbed three-step approximation process with errors for solving generalized implicit nonlinear quasivariational inclusions. Also, the convergence and stability of the iterative sequences with errors generated by the algorithms are presented.

The objective of this paper is to study the iterative solutions of a class of generalized co-complementarity problems in p-uniformly smooth Banach spaces, with the devotion of sunny retraction mapping, p-strongly accretive, p-relaxed accretive and Lipschitzian (or more generally uniformly continuous) mappings. Our results are new and represents a significant improvement of previously known results. Some special cases are also discussed.

In this paper, we consider the generalized nonlinear quasi-variational inclusions by using the generalized parametric operator technique to study the behaviour and sensitivity analysis of the solutions for a class of parametric generalized nonlinear quasi-variational inclusions.

In this paper, two classes of generalized variational-like inequalities problems for multivalued mappings are introduced and then by using KKM technique and Kakutani-Fan-Glicksberg fixed point theorem the solvability of them are investigated when the mappings are relaxed η − α-monotone. One can consider this paper the topological vector space version of reference [15]..

In this paper, we suggest and analyze a class of iterative schemes for solving generalized multivalued nonlinear quasi-variational like inclusion problems using the concept of η-subdifferential and η-proximal mappings of a proper functional on Hilbert spaces. A detailed convergence analysis of our method is also included.

We prove an existence theorem for solution of generalized strongly nonlinear implicit quasivariational inequality problems and convergence of iterative sequences with errors, involving Lipschitz continuous, generalized pseudocontractive and generalized g-pseudocontractive mappings in Hilbert spaces.