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In this paper, we introduce the concept of monotone α-nonexpansive mappings in an ordered Banach space E with the partial order ≤, which contains monotone nonexpansive mappings as special case. With the help of the Mann iteration, we show some existence theorems of fixed points of monotone α-nonexpansive mappings in uniformly convex ordered Banach space. Also, we prove some weak and strong convergence...
In this work, we introduce and prove a best proximity point theorems for multivalued non-self mappings which generalized multivalued (α, L)-weak contraction mappings.
In this paper, a regularization algorithm is investigated for finding a common solution of a generalized equilibrium problem, variational inclusion of two accretive operators and fixed point problems of strictly pseudocontractive mappings. Strong convergence is obtained in Banach spaces. Our results are useful in nonlinear analysis and optimization.
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