Fixed Point Theorems for $s-\alpha$ Contractions in Dislocated and $b$-Dislocated Metric Spaces

Kastriot Zoto, Panda Sumati Kumari

Abstract


In this paper, we prove some unique fixed point results for quasicontraction and  $T$-Hardy Rogers contraction in the setting of complete dislocated and  $b$-dislocated metric spaces. Our theorems involve one and two self-mappings and extend and generalize some several known results of literature in a wider class as  $b$-spaces.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|