Abstract
We introduce the class of enriched φ-contractions in Banach spaces as a natural generalization of φ-contractions and study the existence and approximation of the fixed points of mappings in this new class, which is shown to be an unsaturated class of mappings in the setting of a Banach space. We illustrated the usefulness of our fixed point results by studying the existence and uniqueness of the solutions of some second order (p,q)-difference equations with integral boundary value conditions.
Funder
Technical University of Cluj-Napoca
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference50 articles.
1. Sur les opérations dans les ensembles abstraits et leurs applications aux équations intégrales;Banach;Fundam. Math.,1922
2. Agarwal, R.P., O’Regan, D., and Sahu, D.R. Topological Fixed Point Theory and Its Applications. Fixed Point Theory for Lipschitzian-Type Mappings with Application, 2009.
3. Agarwal, R.P., Karapıar, E., O’Regan, D., and Roldán-López-de-Hierro, A.F. Fixed Point Theory in Metric Type Spaces, 2015.
4. Berinde, V. Lecture Notes in Mathematics, 1912. Iterative Approximation of Fixed Points, 2007.
5. Granas, A., and Dugundji, J. Fixed Point Theory, 2003.
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献