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At last, a common coincidence points theorem has been proved for the combinations of crisp mappings & fuzzy mappings together using the notion of R – weakly commuting mappings..
A new proof based on local integral manifold theory and the implicit function theorem is given for the classical result that a simple periodic orbit of the equation above
is to revisit problem (1) and obtain at least three positive periodic solutions of (1) by means of a three fixed-points theorem due to Avery and Peterson [2].. The paper is divided
In Section 2, including the variable exponent Lebesgue, Sobolev spaces, generalized gradient of locally Lipschitz function and non-smooth three-critical-points theorem.. In section
The second theorem of this paper shows that it is possible to obtain an asymptotically normally distributed estimator of the short-run parameter by including an intercept in
In these explants the abscission zone cells showed features similar to those in the normally abscising genotype consistent with a degree of wall breakdown sufficient for cell
3.3 Extension of Poincaré Model of Hyperbolic Geometry SinceD,⊕M,⊗Mprovides the algebraic setting for the Poincaré model of hyper- bolic geometry, and the gyrovector spaceC,⊕,⊗ is an
Diwan Common fixed point theorem for gregus type mappings in a metric space without convexity 165-174 Niranjan Guha Weakly symmetric and weakly Ricci-symmetric manifold admitting
