several representations of the generalized drazin inverse of an anti-triangular block matrix in banach algebra are given in terms of the generalized banachiewicz--schur form.

in the present paper‎, ‎we introduce the concept of generalized multivalued $f$ -‎contraction mappings and give a fixed point result‎, ‎which is a proper‎ ‎generalization of some multivalued fixed point theorems including nadler's‎.

in this paper, using a generalized dunkl translation operator, we obtain an analog of titchmarsh's theorem for the dunkl transform for functions satisfying the lipschitz-dunkl condition in $mathrm{l}_{2,alpha}=mathrm{l}_{alpha}^{2}(mathbb{r})=mathrm{l}^{2}(mathbb{r}, |x|^{2alpha+1}dx), alpha>frac{-1}{2}$.

‎in this text we prove that in generalized shift dynamical system $(x^gamma,sigma_varphi)$‎ ‎for finite discrete $x$ with at least two elements‎, ‎infinite countable set $gamma$ and‎ ‎arbitrary map $varphi:gammatogamma$‎, ‎the following statements are equivalent‎: ‎ - the dynamical system $(x^gamma,sigma_varphi)$ is‎ li-yorke chaotic;‎ - the dynamical system $(x^gamma,sigma_varphi)$ has‎ an scr...

objective: metacognitions are vulnerability factors in predicting development of psychological disorders especially generalized anxiety disorder (gad) and dysthymia, which are highly comorbid. many studies have shown that gad and dysthymia have similar underlying metacognitive factors but the results are contradictory. the aim of present research was to test this hypothesis by using new instrum...

this paper investigates on control and stabilization of a new hyperchaotic system. the hyperchaotic system is stabilized using a new technique which called generalized backstepping method (gbm). because of its similarity to backstepping approach, this method is called gbm. but, this method is more applicable in comparison with conventional backstepping.  backstepping method is used only for sys...

in this paper, we prove some common fixed point results for two self mappingsf and g on s-metric space such that f is a g.w.c.m with respect to g.

congenital generalized lipodystrophy (cgl) is a rare and progressive disorder (1 in 12 milion). common clinical manifestations are lipoatrophy, acromegaloid feature, acanthosis nigricans, hyperlipidemia, diabetes mellitus or abnormal glucose tolerance test.â rarely fatty liver and cirrhosis is seen. the highest number reported in literature is 8 cases from brazil and 6 cases from scandinavia, r...

objective: the present study compares the efficacy of two most commonly used biofeedback relaxation techniques in the treatment of generalized anxiety disorder. method: 45 individuals with generalized anxiety disorder were randomly assigned to three groups (n=15): group i received electromyographic biofeedback relaxation training, group ii received alpha-electroencephalographic biofeedback rela...

In this paper, using Clarke’s generalized directional derivative and dI-invexity we introduce new concepts of nonsmooth K-α-dI-invex and generalized type I univex functions over cones for a nonsmooth vector optimization problem with cone constraints. We obtain some sufficient optimality conditions and Mond-Weir type duality results under the foresaid generalized invexity and type I cone-univexi...