The aim of this paper is to prove a common fixed point theorem for nonexpansive type single valued mappings which include both continuous and discontinuous mappings by relaxing the condition of continuity by weak reciprocally continuous mapping. Our result is generalize and extends the corresponding result of Jhade et al. [P.K. Jhade, A.S. Saluja and R. Kushwah, Coincidence and fixed points of ...

In this paper, a new viscosity type iterative algorithm is used for obtaining strong convergence result of split equality fixed point solutions infinite families multivalued demicontractive mappings in real Hilbert spaces. Our scheme based on choosing the step-sizes without calculating or estimating operator norms and condition hemicompactness was relaxed to prove result. As an application, sol...

In this article, we provide a splitting method for solving monotone inclusions in real Hilbert space involving four operators: maximally monotone, monotone-Lipschitzian, cocoercive, and monotone-continuous operator. The proposed takes advantage of the intrinsic properties each operator, generalizing forward–backward–half-forward Tseng’s algorithm with line search. At iteration, our defines step...

Pblya's enumeration theorem is generalized in the following way. We have sets R and D, and a group G acting (by means of representations) on R and D simultaneously. This induces an equivalence relation in the set of all mappings (or of all one-to-one mappings) of R into D. The number of equivalence classes is determined for both cases. The example of types of mappings of a set into itself is tr...

In this paper, we address the additivity of n-multiplicative isomorphisms and derivations on gamma rings. We proved that, if $${{\mathfrak {M}}}\, $$ is a $$\Gamma -ring satisfying some conditions, then any isomorphism $$\left( \varphi , \phi \right) onto an arbitrary ring additive.

objective: to obtain abnormalities in quantitative electroencephalography qeeg) and to observe connectivity between electrodes in children with asperger disorder. method: in this study, spectrogram criteria and coherence values are used as a tool for evaluating qeeg in 15 children with asperger disorder (10 boys and 5 girls aged between 6 to 11 years old) and in 11 control children boys and 4 g...