Fixed points and dynamic programming in complex-valued controlled metric spaces

Liliana Guran; Muhammad Suhail Aslam; Mohammad Showkat Rahim Chowdhury; Thabet Abdeljawad

doi:10.24193/subbmath.2026.1.10

Fixed points and dynamic programming in complex-valued controlled metric spaces

Liliana Guran
, Muhammad Suhail Aslam
, Mohammad Showkat Rahim Chowdhury
, Thabet Abdeljawad

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we introduce the concepts of (α-Ω)-contraction and Reich-type contraction within the framework of complex-valued controlled metric spaces (CVCMS). We also present related fixed point theorems for CVCMS, building on the works considered in the literature review for controlled metric type spaces. To demonstrate the practical implications and significance of our results, we provide several examples and an application in dynamic programming.

Original language	English
Pages (from-to)	145-162
Number of pages	18
Journal	Studia Universitatis Babes-Bolyai Mathematica
Volume	71
Issue number	1
DOIs	https://doi.org/10.24193/subbmath.2026.1.10
Publication status	Published - 6 Mar 2026
Externally published	Yes

Keywords

(α-Ω)-contraction
Reich type contraction
common fixed point
complex-valued
controlled metric space type
dynamic programming

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10.24193/subbmath.2026.1.10

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N1 - Publisher Copyright: © Studia UBB MATHEMATICA. Published by Babeş-Bolyai University This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. https://creativecommons.org/licenses/by-nc-nd/4.0/

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Fixed points and dynamic programming in complex-valued controlled metric spaces

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Keywords

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