Journal of Analysis & Number Theory
Journal license

Journal

Journal of Analysis & Number Theory


Volume
& Issue

Volume 5, Issue 1


Published
on

January 1, 2017


Pages

73-80


DOI

Article

Some Common Fixed Points of Generalized Contractive Mappings on Complex Valued Metric Spaces

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Authors

Sami Ullah Khan* Affiliation:
Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan; Department of Mathematics, Gomal University D. I. Khan, KPK, Pakistan
, Muhammad Arshad Affiliation:
Department of Mathematics, International Islamic University, H-10, Islamabad - 44000, Pakistan
, Hemant Kumar Nashine Affiliation:
Department of Mathematics, Amity School of Applied Sciences, Amity University Chhattisgarh, Manth (Opp. ITBP) SH-9, Raipur, Chhattisgarh 493225, India
and Muhammad Nazam Affiliation:
Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan


Abstract

Azam et al. (Numer Funct Anal Optim, 32(3):243–253, 2011) introduced a notion of complex valued metric space and obtained common fixed point result for mappings in such spaces. In this paper, owing the concept of complex valued metric spaces introduced by Azam et al. [6], we obtain sufficient conditions for the existence of common fixed point for a pairs of mappings satisfying generalized contraction involving rational expressions.


Keywords

complex valued metric spaces, common fixed point, contractive type mappings


Citation

Khan, S. U., Arshad, M., Nashine, H. K., & Nazam, M. (2017). Some common fixed points of generalized contractive mappings on complex valued metric spaces. Journal of Analysis & Number Theory, 5(1), 73–80. https://doi.org/10.18576/jant/050111

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