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<p>In this paper, we introduce the notions of <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\((F,\psi ,\varphi ,\alpha ,1-\alpha )\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi>F</mi> <mo>,</mo> <mi>ψ</mi> <mo>,</mo> <mi>φ</mi> <mo>,</mo> <mi>α</mi> <mo>,</mo> <mn>1</mn> <mo>-</mo> <mi>α</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>-type contractive mappings and <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\((F,\psi ,\varphi ,\alpha ,1-\alpha )\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi>F</mi> <mo>,</mo> <mi>ψ</mi> <mo>,</mo> <mi>φ</mi> <mo>,</mo> <mi>α</mi> <mo>,</mo> <mn>1</mn> <mo>-</mo> <mi>α</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>-type convex contractive mappings in metric spaces by employing <i>C</i>-class functions together with altering distance functions. Within this framework, we establish existence and uniqueness results for fixed points of continuous self-mappings defined on complete metric spaces. The proposed formulation provides a unified setting in which several known contractive conditions can be recovered through suitable choices of the auxiliary functions.</p>

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Fixed Point Theorems for \((F,\psi ,\varphi ,\alpha ,1-\alpha )\)-Type Contractive and Convex Contractive Mappings in Metric Spaces

  • 期刊论文

  • 发表日期：

    2026年8月3日

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  • Seyyed Hossein Jafari Petroudi,
  • Arsalan Hojjat Ansari,
  • Safeer Hussain Khan,
  • Stojan Radenovic

摘要

In this paper, we introduce the notions of \((F,\psi ,\varphi ,\alpha ,1-\alpha )\) ( F , ψ , φ , α , 1 - α ) -type contractive mappings and \((F,\psi ,\varphi ,\alpha ,1-\alpha )\) ( F , ψ , φ , α , 1 - α ) -type convex contractive mappings in metric spaces by employing C-class functions together with altering distance functions. Within this framework, we establish existence and uniqueness results for fixed points of continuous self-mappings defined on complete metric spaces. The proposed formulation provides a unified setting in which several known contractive conditions can be recovered through suitable choices of the auxiliary functions.