Abstract

A unique fixed point theorem for three self-maps under rational type contractive condition is established. In addition, a unique fixed point result for six continuous self-mappings through rational type expression is also discussed.

Highlights

  • Fixed point theory is one of the core subjects of nonlinear analysis

  • Jaggi [7] proved some unique fixed point results through contractive condition of rational type in metric spaces

  • Chandok and Karapinar [15] generalized the results of Harjani and established common fixed point results for weak contractive conditions satisfying rational type expressions in partially ordered metric spaces

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Summary

Introduction

Fixed point theory is one of the core subjects of nonlinear analysis. This theory is not constrained to mathematics; it is applicable to other disciplines. Jaggi [7] proved some unique fixed point results through contractive condition of rational type in metric spaces. Chandok and Karapinar [15] generalized the results of Harjani and established common fixed point results for weak contractive conditions satisfying rational type expressions in partially ordered metric spaces.

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