Title of article :
Strong convergence results for fixed points of nearly weak uniformly L-Lipschitzian mappings of I-Dominated mappings
Author/Authors :
Mogbademu, A. A. Research Group in Mathematics and Applications - Department of Mathematics - University of Lagos, Lagos, Nigeria. , Kim, J. K. Department of Mathematics Educations - Kyungam University, Masan, Kyungnam, Republic of Korea, Korea
Abstract :
In this paper, we prove strong convergence results for a modified Mann iterative process for a new class of I- nearly weak uniformly L-Lipschitzian mappings in a real Banach space. The class of I-nearly weak uniformly L-Lipschitzian mappings is an interesting generalization of the class of nearly weak uniformly L-Lipschitzian mappings which inturn is a generalization of the class of nearly uniformly L-Lipschitzian mappings which inturn generalises uniformly L-Lipschitzian mappings. Our theorems include some very recent results in fixed point theory and applications, in the context of nearly uniformly L-Lipschitzian mappings.
Keywords :
Modified Mann iteration process , Banach space , Fixed point , I-nearly weak uniformly L-Lipschitzian
Journal title :
International Journal of Nonlinear Analysis and Applications
