Common fixed point results of four mappings in ordered partial metric spaces

• Autorzy: Talat Nazir , Sergei Silvestrov , Mujahid Abbas
• Języki publikacji: EN

Abstrakty

EN

On partially ordered set equipped with a partial metric, we study the sufficient conditions for existence of common fixed points of various mappings satisfying generalized weak contractive conditions. These results unify several comparable results in the existing literature.We also study the existence of nonnegative solution of implicit nonlinear integral equation. Furthermore, we study the fractal of finite family of generalized contraction mappings defined on a partial metric space.

Słowa kluczowe

EN

Common fixed point; dominated maps; dominating maps; weakly compatible; integral equation; iterated function system; partial metric space; partially ordered set

• Wydawca: De Gruyter Open
• Czasopismo: Waves, Wavelets and Fractals
• Rocznik: 2016
• Tom: 2
• Numer: 1

Daty

otrzymano

2016-03-22

zaakceptowano

2016-06-19

online

2016-12-19

Twórcy

autor

Talat Nazir

• Division of Applied Mathematics, School of Education, Culture and Communication, Mälardalen University, 72123 Västerås, Sweden
• Department of Mathematics, COMSATS Institute of Information Technology, 22060 Abbottabad, Pakistan

autor

Sergei Silvestrov

• Division of Applied Mathematics, School of Education, Culture and Communication, Mälardalen University, 72123 Västerås, Sweden

autor

Mujahid Abbas

• Department of Mathematics, University of Management and Technology, C-II, Johar Town, Lahore, Pakistan and Faculty of Science, Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah - 21589, Saudi Arabia

Identyfikatory

DOI

10.1515/wwfaa-2016-0006