Title of article
Coincidence and Common Fixed Point Results for α-(ψ, ϕ)-Contractive Mappings in Metric Spaces
Author/Authors
Esmaily, J Department of Mathematics - Ahvaz Branch - Islamic Azad University , Vaezpour, S. M Department of Mathematics and Computer Science - Amirkabir University of Technology , Saadati, R Department of Mathematics - Iran University of Sci- ence and Technology
Pages
13
From page
249
To page
261
Abstract
Recently Samet et al. introduced the notion of α-ψ-contractive type mappings and established some fixed point theorems in complete metric spaces. In this paper, we introduce α-(ψ, ϕ)-contractive mappings and stablish coincidence and common fixed point theorems for two mapping in complete metric spaces. We present some examples to illustrate our results. As application, we establish an existence and uniqueness theorem for a solution of some integral equations.
Keywords
Fixed point , Coincidence point , Common fixed point , α-(ψ, ϕ)-contraction , Altering dis-tance function , Integral equations
Journal title
Astroparticle Physics
Serial Year
2019
Record number
2468892
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