Fixed Point Results for Multivalued Preši? Type Weakly Contractive Mappings

Abdul Latif, Talat Nazir and Mujahid Abbas
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Abdul Latif: Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Talat Nazir: Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad 22060, Pakistan
Mujahid Abbas: Department of Mathematics, Government College University, Lahore-54000, Pakistan

Mathematics, 2019, vol. 7, issue 7, 1-14

Abstract: We present fixed points results of multivalued Preši? type k -step iterative mappings satisfying generalized weakly contraction conditions in metric spaces. An example is presented to support the main result proved herein. The stability of fixed point sets of multivalued Preši? type weakly contractive mappings are also established. Global attractivity result for the class of matrix difference equations is derived as application of the result presented herein. These results generalize and extend various comparable results in the existing literature.

Keywords: fixed point; multivalued mapping; Preši? type weakly contraction; stability of fixed point set; global attractivity (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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