By a combination of geometrical and configurational analysis we study the properties of absolute minimal and equilibrium states of general Mumford-Shah functionals, with applications to models of quasistatic brittle fracture propagation. The main results concern the mathematical relations between physical quantities as energy release rate and energy concentration for 3D cracks with complex shap...

Arguing against the claim that every dispositional property is grounded in some property other than itself, Stephen Mumford presents what he calls the ‘Ungrounded Argument’. If successful, the Ungrounded Argument would represent a major victory for anti-Humean metaphysics against its Humean rivals, as it would allow for the existence of primitive modality. Unfortunately, Humeans need not yet be...

In 2006, I. Beg and M. Abbas have studied the existence of coincidence and common fixed points for two mappings satisfying a weak contractive condition. Their results were extended in 2008 by A. Azam and M. Shakeel to the case of three mappings. Recently M. Abbas and D. Dorić employed the contractive conditions introduced in [Q. Zhang and Y. Song, Fixed point theory for generalized φ-weak contr...

We study a variational problem arising in the approach of Mumford and Shah to the image segmentation problem of computer vision Given f L D for a domain D in R the simpli ed Mumford Shah energy associated to a decompositionD N is

Mohamad Khairuzzaman Mohamad Zamani, Ismail Musirin, Mohamad Sabri Omar, Saiful Izwan Suliman, Nor Azura Md. Ghani, Nur Azwan Mohamed Kamari Faculty of Electrical Engineering, Universiti Teknologi MARA, 40000 Shah Alam, Selangor, Malaysia Faculty of Computer & Mathematical Sciences, Universiti Teknologi MARA, 40000 Shah Alam, Selangor, Malaysia Department of Electrical, Electronic & Systems Eng...

Khyati Patel Brijesh Shah

Abbas M, Arsad M, Azam A (2013), Fixed points of asymptotically regular mappings in complex-valued metric spaces, Georgian Math. J. , 20 (2), 213-221. Abbas M. Fisher B, Nazir T (2012), Well-posedness and periodic point property of mappings satisfying a rational inequality in an ordered complex valued metric space, Sci. Stud. Res. , Ser. Math. Inform. , 22 (1), 5-24. Ahmad J, Klin-Eam C, Azam A...

Abbas M, Arsad M, Azam A (2013), Fixed points of asymptotically regular mappings in complex-valued metric spaces, Georgian Math. J. , 20 (2), 213-221. Abbas M. Fisher B, Nazir T (2012), Well-posedness and periodic point property of mappings satisfying a rational inequality in an ordered complex valued metric space, Sci. Stud. Res. , Ser. Math. Inform. , 22 (1), 5-24. Ahmad J, Klin-Eam C, Azam A...