Study of Fixed Point Theorem for Common Limit Range Property and Application to Functional Equations

Hemant Kumar Nashine

doi:10.2478/awutm-2014-0007

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Study of Fixed Point Theorem for Common Limit Range Property and Application to Functional Equations

Annals of West University of Timisoara - Mathematics and Computer Science

Volume 52 (2014): Issue 1 (June 2014)

By: Hemant Kumar Nashine

Open Access

|Dec 2014

Abstract

The aim of our paper is to use common limit range property for two pairs of mappings deriving common fixed point results under a generalized altering distance function. Some examples are given to exhibit different type of situation which shows the requirements of conditions of our results. At the end the existence and uniqueness of solutions for certain system of functional equations arising in dynamic programming with the help of a common fixed point theorem is presented.

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Articles in this issue

DOI: https://doi.org/10.2478/awutm-2014-0007 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293

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Language: English

Page range: 95 - 120

Submitted on: Jan 24, 2014

Accepted on: Apr 24, 2014

Published on: Dec 11, 2014

Published by: West University of Timisoara

In partnership with: Paradigm Publishing Services

Publication frequency: Volume open

Keywords:

symmetric space,

altering distance function,

weakly compatible mappings,

common limit range property,

Related subjects:

© 2014 Hemant Kumar Nashine, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 52 (2014): Issue 1 (June 2014)