Common Fixed Point Theorems of Generalized Multivalued ( ?, ? )-Contractions in Complete Metric Spaces with Application

Eskandar Ameer, Muhammad Arshad, Dong Yun Shin and Sungsik Yun
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Eskandar Ameer: Department of Mathematics, Taiz University, Taiz, Yemen
Muhammad Arshad: Department of Mathematics, International Islamic University, H-10, Islamabad 44000, Pakistan
Dong Yun Shin: Department of Mathematics, University of Seoul, Seoul 02504, Korea
Sungsik Yun: Department of Financial Mathematics, Hanshin University, Gyeonggi-do 18101, Korea

Mathematics, 2019, vol. 7, issue 2, 1-15

Abstract: The purpose of this paper is to introduce the notion of generalized multivalued ψ , ? -type contractions and generalized multivalued ψ , ? -type Suzuki contractions and establish some new common fixed point theorems for such multivalued mappings in complete metric spaces. Our results are extension and improvement of the Suzuki and Nadler contraction theorems, Jleli and Samet, Piri and Kumam, Mizoguchi and Takahashi, and Liu et al. fixed point theorems. We provide an example for supporting our new results. Moreover, an application of our main result to the existence of solution of system of functional equations is also presented.

Keywords: fixed point; generalized multivalued ( ? , ? )-type contraction; generalized multivalued ( ? , ? )-type Suzuki contraction (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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