A fixed point theorem for JS-contraction type mappings with applications to polynomial approximations

Author:

Altun Ishak1,Al Arifi2,Jleli Mohamed3,Lashine Aref4,Samet Bessem3

Affiliation:

1. King Saud University, College of Science, Riyadh, Saudi Arabia + Department of Mathematics, Faculty of Science and Arts, Kirikkale University, Yahsihan, Kirikkale, Turkey

2. College of Science, Geology and Geophysics Department, King Saud University, Riyadh, Saudi Arabia

3. Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia

4. College of Engineering, Petroleum and Natural Gas Engineering Department, King Saud University, Riyadh, Saudi Arabia + Faculty of Science, Geology Department, Benha University, Benha, Egypt

Abstract

A fixed point theorem is established for a new class of JS-contraction type mappings. As applications, some Kelisky-Rivlin type results are obtained for linear and nonlinear q-Bernstein-Stancu operators.

Publisher

National Library of Serbia

Subject

General Mathematics

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