Fixed Points in A Complex Valued Metric Space

Faisal Al kasasbeh

doi:10.17485/ijst/2019/v12i11/138190

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Fixed Points in A Complex Valued Metric Space

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2019/v12i11/138190

Year: 2019, Volume: 12, Issue: 11, Pages: 1-9

Original Article

Fixed Points in A Complex Valued Metric Space

Faisal Al-kasasbeh^*

Department of Mathematics and Statistics, Faculty of Science - Mu’tah University, Karak 61710 P.O. Pox(7), Jordan; [email protected]

*Author for correspondence
Faisal Al-kasasbeh
Department of Mathematics and Statistics, Faculty of Science - Mu’tah University, Karak 61710 P.O. Pox(7), Jordan.
Email: [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Objectives/Aim: To find fixed points for integral types of contraction mappings in a complex valued metric spaces. Methods: We used mathmatical analysis to prove the results as a generalization of weakly contraction self mappings defined in a complex metric space. Findings: We are finding by weakly integral types of contraction self mappings that there are common fixed points. In this paper we used commutative self mappings for our conclusions . Application/ Improvements: In future it can also be used for the exestense and uniquence of the differential equations solutions.

Keywords: Complex Valued Metric Space, Contraction Mapping, Fixed Point, Integral Type, Weakly Commuting