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- W3088883710 abstract "Abstract Objectives In this paper we present some fixed point theorems for self mappings satisfying generalized $$(phi , psi )$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>ϕ</mml:mi> <mml:mo>,</mml:mo> <mml:mi>ψ</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> -weak contraction condition in partially ordered complete b -metric spaces. The results presented over here generalize and extend some existing results in the literature. Finally, we illustrate two examples to support our results. Result We obtained a unique fixed point of a self mapping satisfying certain contraction condition which is involving an auxiliary function. Also, the results are presented for the existence of a common fixed point and a coincidence point for generalized $$(phi , psi )$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>ϕ</mml:mi> <mml:mo>,</mml:mo> <mml:mi>ψ</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> -weak contraction mappings in partially ordered complete b -metric space." @default.
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- W3088883710 date "2020-09-22" @default.
- W3088883710 modified "2023-10-17" @default.
- W3088883710 title "Fixed point theorems for nonlinear contractive mappings in ordered b-metric space with auxiliary function" @default.
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- W3088883710 doi "https://doi.org/10.1186/s13104-020-05273-1" @default.
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