A rational mathematical procedure is proposed for approximating solutions to the partial differential equations of cross-bridge kinetics in theories of muscular contraction of the type first proposed by A. F. Huxley. The essence of the procedure is to approximate the exact bond-distribution functions by distributions of prescribed form, and this leads to a set of first-order ordinary differenti...

jachymski [ proc. amer. math. soc., 136 (2008), 1359-1373] gave modified version of a banach fixed point theorem on a metric space endowed with a graph. in the present paper, (g, φ)-graphic contractions have been de ned by using a comparison function and studied the existence of fixed points. also, hardy-rogers g-contraction have been introduced and some fixed point theorems have been proved. s...