A Multiple Fixed Point Result for $\left(\theta ,\varphi ,\psi \right)$-Type Contractions in the Partially Ordered

Maliha Rashid

¹

,

Amna Kalsoom

²

,

Abdul Ghaffar

³

et al.

Abstract

In this manuscript, the aim is to prove a multiple fixed point (FP) result for partially ordered s -distance spaces under θ , ϕ , ψ -type weak contractive condition. The result will generalize some well-known results in literature such as coupled FP (Guo and Lakshmikantham, 1987), triple fixed point (Berinde and Borcut, 2011), and quadruple FP results (Karapinar, 2011). Moreover, to validate the result, an application for the existence of solution of a system of integral equations is also provided.

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.…”