Existence of fixed point theorems for complex partial b-metric spaces using S-contractive mapping

Subject Areas : Fixed point theory

S. Tiwari ¹ , L. Rathour ² , L. Mishra ³

1 - Department of Mathematics, Lukhdhirji Engineering College, Morbi-363642, Gujarat, India
2 - Ward number-16, Bhagatbandh, Anuppur, 484224, Madhya Pradesh, India
3 - Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632 014, Tamil Nadu, India

Received: 2022-05-19 Accepted : 2022-09-29 Published : 2022-09-01

Keywords: fixed points, weakly increasing mappings, S-contraction, complex partial b-metric space,

Abstract :

‎In this paper‎, ‎we prove some results on complex partial b-metric space $(\Re‎, ‎p_{b}^{c})$‎, ‎which are more generalization of S-contractive mappings‎. ‎Also‎, ‎we expand weakly increasing mappings of S-contractive for two self-mappings and prove some common fixed point theorems with supported examples in complete partial b-metric spaces $(\Re‎, ‎p_{b}^{c})$‎.

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