<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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. </p></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.

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

Disha Institute of Management and Technology Department of Mathematics Satya Vihar, Vidhansabha-Chandrakhuri Marg Mandir Hasaud, Raipur-492101 (Chhattisgarh) India

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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...

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

Published Online: Dec 11, 2014

Page range: 95 - 120

Received: Jan 24, 2014

Accepted: Apr 24, 2014

DOI: https://doi.org/10.2478/awutm-2014-0007

Keywords
symmetric space, altering distance function, weakly compatible mappings, common limit range property, common fixed point, dynamic programming

© Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Dec 11, 2014

Page range: 95 - 120

Received: Jan 24, 2014

Accepted: Apr 24, 2014

DOI: https://doi.org/10.2478/awutm-2014-0007

Keywordssymmetric space, altering distance function, weakly compatible mappings, common limit range property, common fixed point, dynamic programming

© Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
symmetric space, altering distance function, weakly compatible mappings, common limit range property, common fixed point, dynamic programming