Abstract

This manuscript aims to initiate some recent theoretical consequences related to tripled coincidence points for non-self mappings via the notion of C-type functions in partially ordered complete metric-like space (for short, POCML space). Our contributions unify and expand some previous studies in this line. Moreover, some corollaries and suitable examples are presented to demonstrate the novelty of the results established. Ultimately, two applications are given here to boost our theoretical consequences, the first one about the contributions of the integral type to obtain a triple coincidence points and the other application is about solving a system of nonlinear integral equations.

Highlights

  • In the past, it was believed that scientific disciplines are completely separate; but after the tremendous development and modern theories in basic science techniques, they have become completely connected

  • For example, the technique of fixed point is applied for finding the solution of the equilibrium troubles in economics and game theory

  • Assume that Ξ : Υ × Υ × Υ → Υ and Θ : Υ → Υ fulfill the following hypotheses: (i) (χ 3) ⊆ (χ ); (ii) has a mixed -monotone property; (iii) ( (χ), ξ ) is a complete metric-like space and χ is obligated by the following assumptions: (I) ln l if a nondecreasing sequence ln → l, n → +∞, (II) jn j if a nonincreasing sequence jn → j, n → +∞; (iv) is continuous and commutes with ; (2020) 2020:211

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Summary

Introduction

It was believed that scientific disciplines are completely separate; but after the tremendous development and modern theories in basic science techniques, they have become completely connected.

Results
Conclusion
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