Solution of Integral Equations Using Some Multiple Fixed Point Results in Special Kinds of Distance Spaces

Maliha Rashid, Naeem Saleem (), Rabia Bibi and Reny George ()
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Maliha Rashid: Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan
Naeem Saleem: Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan
Rabia Bibi: Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan
Reny George: Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia

Mathematics, 2022, vol. 10, issue 24, 1-17

Abstract: In this paper, we explore some extensions of multiple fixed point results for various distance spaces such as s -distance space, s , q -distance space, and balanced distance space. Some examples are also discussed for the elaboration of these generalized structures. An application of our result that demonstrates the existence of a unique solution of a system of integral equations is also provided.

Keywords: multidimensional fixed point; s -distance space; s , q -distance space; balanced distance space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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