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ϕ-contractive multivalued mappings in complex valued metric spaces and remarks on some recent papers
- Source :
- Cogent Mathematics, Vol 3, Iss 1 (2016)
- Publication Year :
- 2016
- Publisher :
- Informa UK Limited, 2016.
-
Abstract
- The purpose of this paper is twofold. Firstly, certain common fixed point theorems are established via $ \phi $-contractive multivalued mappings involving point-dependent control functions as coefficients in the framework of complex valued metric spaces. Our results improve and extend several results in the existing literature. Moreover, this section is equipped by some illustrative examples in support of our results. Secondly, we point out some slip-ups in the examples of some recent papers Ahmad, Klin-Eam, and Azam (2013) and Kutbi, Ahmad, Azam, and Al-Rawashdeh (2014) based on multivalued contractive mappings in complex valued metric spaces. Our observations are also authenticated with the aid of some appropriate examples. Some rectifications to correct the erratic examples are also suggested.
- Subjects :
- Discrete mathematics
Cauchy sequence
lcsh:Mathematics
010102 general mathematics
Complex valued
Product metric
common fixed point
complex valued metric spaces
multivalued mappings
lcsh:QA1-939
complete complex valued metric spaces
01 natural sciences
Convex metric space
010101 applied mathematics
Algebra
Metric space
General Energy
Section (category theory)
Point (geometry)
0101 mathematics
Control (linguistics)
Mathematics
Subjects
Details
- ISSN :
- 23311835
- Volume :
- 3
- Database :
- OpenAIRE
- Journal :
- Cogent Mathematics
- Accession number :
- edsair.doi.dedup.....feeb2aaf47e30c3a3340171eba9e645a