Fixed Point Results for a Class of Monotone Nonexpansive Type Mappings in Hyperbolic Spaces

Rameshwar Pandey; Rajendra Pant; Ahmed Al-Rawashdeh

doi:10.1155/2018/5850181

Fixed Point Results for a Class of Monotone Nonexpansive Type Mappings in Hyperbolic Spaces

Rameshwar Pandey
, Rajendra Pant
, Ahmed Al-Rawashdeh

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

We consider a wider class of nonexpansive type mappings and present some fixed point results for this class of mapping in partially hyperbolic spaces. Indeed, first we obtain some existence results for this class of mappings. Next, we present some convergence results for an iteration algorithm for the same class of mappings. Some illustrative nontrivial examples have also been discussed. Finally, we provide an application of our results to nonlinear integral equations.

Original language	English
Article number	5850181
Journal	Journal of Function Spaces
Volume	2018
DOIs	https://doi.org/10.1155/2018/5850181
Publication status	Published - 2018

ASJC Scopus subject areas

Analysis

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abstract = "We consider a wider class of nonexpansive type mappings and present some fixed point results for this class of mapping in partially hyperbolic spaces. Indeed, first we obtain some existence results for this class of mappings. Next, we present some convergence results for an iteration algorithm for the same class of mappings. Some illustrative nontrivial examples have also been discussed. Finally, we provide an application of our results to nonlinear integral equations.",

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AB - We consider a wider class of nonexpansive type mappings and present some fixed point results for this class of mapping in partially hyperbolic spaces. Indeed, first we obtain some existence results for this class of mappings. Next, we present some convergence results for an iteration algorithm for the same class of mappings. Some illustrative nontrivial examples have also been discussed. Finally, we provide an application of our results to nonlinear integral equations.

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Fixed Point Results for a Class of Monotone Nonexpansive Type Mappings in Hyperbolic Spaces

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