Common positive solutions for two non-linear matrix equations using fixed point results in b-metric-like spaces

Nashine, Hemant Kumar; Shil, Sourav; Kadelburg, Zoran

doi:10.1007/s00010-021-00846-2

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2022

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“…Various fixed point results were established on such spaces. For more information on b-metric spaces and b-metric-like spaces, the readers can refer to (see [6][7][8][9][10][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

New fixed point theorems for θ - ϕ -contraction on b -metric spaces

Rossafi¹,

Kari²,

Park³

et al. 2022

J. Math. Computer Sci.

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In this paper, we define θ-φ-contraction on a b-metric space into itself by extending θ-φ-contraction introduced by Zheng et al. [D. W. Zheng, Z. Y. Cai, P. Wang, J. Nonlinear Sci. Appl., 10 (2017), 2662-2670] in metric space and also, we prove θ-type theorem in the setting of b-metric spaces as well as θ-φ-type theorem in the framework of b-rectangular metric spaces. Moreover, we give some applications to nonlinear integral equations. We also give illustrative examples to exhibit the utility of our results.

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“…Various fixed point results were established on such spaces. For more information on b-metric spaces and b-metric-like spaces, the readers can refer to (see [6][7][8][9][10][17][18][19].…”

Section: Introductionmentioning

confidence: 99%