On Common Fixed Point of Non-Self Mappings Enjoys The T-Approximate Strict Fixed Point Property On the Boundary of Its Domains

Document Type : Original Article

Authors
Farshid Khojasteh 1
Mujahid Abbas 2
1 Young Researcher and Elite Club, Arak Branch, Islamic Azad University, Arak, Iran.
2 Department of mathematics and applied mathematics University of Pretoria, South Africa
10.29252/maco.1.2.1
Abstract
 In this work, the common T approximate strict fixed point property for multi-valued mappings F,G : X -> P_{cl,bd}(X) is introduced to prove necessary and sufficient condition for existence of a common strict xed point of multi-valued mappings involved therein. Our results extend and unify comparable results in the existing literature. We also provide examples to support our results.

Keywords

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Mathematical Analysis and Convex Optimization
Volume 1, Issue 2
December 2020
Pages 1-13