Extensions of Ćirić and Wardowski type fixed point theorems in D-generalized metric spaces

Fixexd point theory and applications

Lakshmi Kanta Dey¹  Tanusri Senapati¹  Diana Dolić² 

[1] Department of Mathematics, National Institute of Technology Durgapur, West Bengal, India;Faculty of Technical Sciences, Kosovska Mitrovica, Serbia

关键词: Modular Space;    Contraction Mapping;    Type Mapping;    Fixed Point Theory;    Rational Contraction;   

DOI  :  10.1186/s13663-016-0522-7

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study an interesting generalization of standard metric spaces, b-metric spaces, dislocated metric spaces, and modular spaces due to the recent work of Jleli and Samet. Here we modify the result for Ćirić quasi-contraction-type mappings and also prove the same result by taking D-admissible mappings. Moreover, we establish fixed point theorems for two well-known nonlinear contractions like rational contraction mappings and Wardowski type contraction mappings. Several important results in the literature can be derived from our results. Suitable examples are presented to substantiate our obtained results.

【 授权许可】

CC BY