Multidimensional fixed points in generalized distance spaces

Abstract

The main aim of this paper is to study distance spaces, to provide some useful remarks with examples regarding distance spaces, and to establish multiple fixed point results for a C-distance space in the presence of different contractive conditions. This concept allows us to reduce the multidimensional case to a one-dimensional case.

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

“…The key objective of this article is to study the multiple fixed points in the presence of ordered distance spaces with generalized contractions. Inspired by [18][19][20][21][22][23], an application of our result that demonstrates the existence of the solution of the system of integral equations is also provided.…”

“…Ansari et al introduced the concept of Cand inverse C-class distance in [16,17]. More recently, Rashid et al [18,19] proved some multidimensional fixed point results for more generalized contractions in C-distance spaces and also presented an application of the main result. The key objective of this article is to study the multiple fixed points in the presence of ordered distance spaces with generalized contractions.…”

A Multiple Fixed Point Result for θ , ϕ , ψ -Type Contractions in the Partially Ordered Rashid1, Kalsoom2, Ghaffar3 et al. 2022Journal of Function SpacesSelf Cite

“…They pointed out that the concept allowed them to reduce the multidimensional case of FP and coincidence points to the one dimensional case. Recently, Rashid et al [12] established some multiple FP findings for the C-distance spaces in the existence of various contractive mapping.…”

Hyers–Ulam Stability of Additive Functional Equation Using Direct and Fixed-Point Methods

“…Czerwik [11,12] examined the stability of the quadratic functional equation involving several variables in the normed spaces. Numerous mathematicians investigated the various stability results in [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32].…”