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Some periodic and fixed point theorems on quasi-b-gauge spacesopen access
- Authors
- Zikria, N.; Samreen, M.; Kamran, T.; Aydi, H.; Park, C.
- Issue Date
- Jan-2022
- Publisher
- SPRINGER
- Keywords
- Generalized quasi-pseudo-b-distance; Banach contraction; Nadler contraction; Quasi-b-gauge space; Fixed point; Periodic point
- Citation
- JOURNAL OF INEQUALITIES AND APPLICATIONS, v.2022, no.1, pp.1 - 22
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF INEQUALITIES AND APPLICATIONS
- Volume
- 2022
- Number
- 1
- Start Page
- 1
- End Page
- 22
- ISSN
- 1025-5834
- Abstract
- The notions of a quasi-b-gauge space (U, Q(S;Omega)) and a left (right) J(S;Omega)-family of generalized quasi-pseudo-b-distances generated by (U, Q(S;Omega)) are introduced. Moreover, by using this left (right) J(S;Omega)-family, we define the left (right) J(S;Omega)-sequential completeness, and we initiate the Nadler type contractions for set-valued mappings T : U -> CIJS;Omega (U) and the Banach type contractions for single-valued mappings T : U -> U, which are not necessarily continuous. Furthermore, we develop novel periodic and fixed point results for these mappings in the new setting, which generalize and improve the existing fixed point results in the literature. Examples validating our obtained results are also given.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)