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In this paper, we present some fixed point results for generalized contraction in the framework of compete rectangular metric spaces. Further, we establish some fixed point theorems for this type of mappings defined on such spaces. Our results generalize and improve many of the well-known results. Moreover, to support our main results, we give an illustrative example.

international journal of mathematics and mathematical sciences

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>θ</mml:mi><mml:mo>‐</mml:mo><mml:mi>ϕ</mml:mi><mml:mo>‐</mml:mo></mml:math>Contraction on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mfenced open="(" close=")" separators="|"><mml:mrow><mml:mi>α</mml:mi><mml:mo>,</mml:mo><mml:mi>η</mml:mi></mml:mrow></mml:mfenced><mml:mo>‐</mml:mo></mml:math>Complete Rectangular <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mml:mi>b</mml:mi><…

θ‐ϕ‐Contraction on α,η‐Complete Rectangular b<…