Abstract
Abstract The purpose of this paper is to extend the iteration scheme of multivalued nonexpansive mappings from a Banach space to a hyperbolic space by proving Δ-convergence theorems for two multivalued nonexpansive mappings in terms of mixed type iteration processes to approximate a common fixed point of two multivalued nonexpansive mappings in hyperbolic spaces. The results presented in this paper are new and can be regarded as an extension of corresponding results from Banach spaces to hyperbolic spaces in the literature. MSC:47H10, 54H25.
Highlights
Introduction and preliminariesThe study of fixed points for multivalued contractions and nonexpansive mappings using the Hausdorff metric was initiated by Markin [ ]
This is so because of the fact that in general almost all problems in various disciplines of science are nonlinear in nature, and most results of fixed point theory are proposed under the framework of normed linear spaces or Banach spaces as the property of nonlinear mappings may depend on the linear structure of the underlying spaces
The purpose of this paper is to extend the iteration scheme of multivalued nonexpansive mappings from a Banach space to a hyperbolic space by proving -convergence theorems for two multivalued nonexpansive mappings in terms of mixed type iteration processes to approximate a common fixed point of two multivalued nonexpansive mappings in hyperbolic spaces
Summary
Introduction and preliminariesThe study of fixed points for multivalued contractions and nonexpansive mappings using the Hausdorff metric was initiated by Markin [ ] (see [ ]). We have seen not many results for the approximation iteration of multivalued nonexpansive mappings in terms of Hausdorff metrics for fixed points in the existing literature.
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