Convergence results for cyclic-orbital contraction in a more generalized setting with application-Reference-Cited by-同舟云学术

Convergence results for cyclic-orbital contraction in a more generalized setting with application

Published:2024 Issue:6 Volume:9 Page:15543-15558
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Ahmad Haroon¹,Shahab Sana²,Mobarak Wael F. M.³⁴,Dutta Ashit Kumar⁵,Abolelmagd Yasser M.³,Shaikh Zaffar Ahmed⁶,Anjum Mohd⁷

Affiliation:

1. Abdus Salam School of Mathematical Sciences, Government College University, Lahore 54600, Pakistan

2. Department of Business Administration, College of Business Administration, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia

3. Civil Engineering Department, College of Engineering, University of Business and Technology, Jeddah 21448, Saudi Arabia

4. Engineering Mathematics Department, Alexandria University, Alexandria, Egypt

5. Department of Computer Science and Information Systems, College of Applied Sciences, AlMaarefa University, Ad Diriyah, Riyadh 13713, Kingdom of Saudi Arabia

6. Department of Computer Science and Information Technology, Benazir Bhutto Shaheed University Lyari, Karachi 75660, Pakistan

7. Department of Computer Engineering, Aligarh Muslim University, Aligarh 202002, India

Abstract

<abstract><p>In the realm of double-controlled metric-type spaces, we investigated obtaining fixed points using the application of cyclic orbital contractive conditions. Diverging from conventional approaches utilized in standard metric spaces, our technique took a unique route due to the unique features of our structure. We demonstrated the significance of our outcomes through exemplary cases, clarifying the breadth of our results through comprehensive investigations. Significantly, our work not only improved and broadened earlier findings in the literature, but also offered unique notions that were discussed in our explanatory notes. Towards the end of our inquiry, we used insights obtained from previous discoveries to develop a second-order differential equation. This equation was an effective tool for dealing with the second class of Fredholm integral problems. In conclusion, this investigation extended our examination of double-controlled metric type spaces by providing new insights on fixed point theory, expanding on prior debates and building a substantial road towards solving a class of integral equations.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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