Fixed Points of Demicontinuous φ-Nearly Lipschitzian Mappings in Banach Spaces
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Date
2019
Authors
Okeke, G.A.
Olaleru, J.O
Journal Title
Journal ISSN
Volume Title
Publisher
Thai Journal of Mathematics
Abstract
In this study, we introduce the classes of φ-nearly contraction mappings, φ-nearly nonexpansive mappings, φ-nearly asymptotically nonexpansive mappings, φ-nearly uniformly k-Lipschitzian mappings and φ-nearly uniform kcontraction mappings. These classes include those classes studied by Sahu [1] as special cases. We study the existence of fixed points and the structure of their fixed point sets of mappings in Banach spaces. Our results improve and generalize
many celebrated results of fixed point theory in the context of demicontinuity.
Description
Staff publications
Keywords
Demicontinuity , φ-nearly Lipschitzian mappings , φ-nearly contraction mappings , φ-nearly nonexpansive mappings , Banach spaces. , Research Subject Categories::MATHEMATICS
Citation
Okeke, G.A. and Olaleru, (2019). Fixed Points of Demicontinuous φ-Nearly Lipschitzian Mappings in Banach Spaces. Thai Journal of Mathematics, 17(1)1 : 141-154.