On α∗-Ψ-Contractive Multi-Valued Operators in b-Metric Spaces and Applications

Authors

Monica-Felicia Bota, Department of Mathematics, Babes¸-Bolyai University Kog˘alniceanu Street No.1, 400084, Cluj-Napoca, RomaniFollow
Veronica Ilea, Department of Mathematics, Babes¸-Bolyai University Kog˘alniceanu Street No.1, 400084, Cluj-Napoca, RomaniFollow
Erdal Karapınar, Department of Mathematics, Atilim University, 06836,˙Incek, Ankara, Turkey\\ Nonlinear Analysis and Applied Mathematics Research Group (NAAM), King Abdulaziz University, 21589, Jeddah, Saudi Arabia.Follow
Oana Mleşnițe, Department of Mathematics, Babes¸-Bolyai University Kog˘alniceanu Street No.1, 400084, Cluj-Napoca, RomaniFollow

Author Country (or Countries)

Saudi Arabia.

Abstract

In this paper, we will prove some existence and uniqueness theorems for a∗-y contractive type operators defined over bmetric spaces. In particular, we will provide results related to Ulam-Hyers stability, well-posedness and limit shadowing. The theorems presented will extend, generalize or unify several statements currently exist in the literature on those topics.We will also give examples to illustrate the applications our results.

Recommended Citation

Bota, Monica-Felicia; Ilea, Veronica; Karapınar, Erdal; and Mleşnițe, Oana (2015) "On α∗-Ψ-Contractive Multi-Valued Operators in b-Metric Spaces and Applications," Applied Mathematics & Information Sciences: Vol. 09: Iss. 5, Article 45.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss5/45