<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, we present some fixed point results satisfying generalized contractive condition with new auxiliary function in complete metric spaces. More precisely, the structure of the paper is the following. In the first section, we present some useful notions and results. The main aim of second section is to establish some new fixed point results in complete metric spaces. Finally, in the third section, we show the validity and superiority of our main results by suitable example. Also, as an application of our main result, some interesting corollaries have been included, which make our concepts and results effective. Our main result generalizes some well known existing results in the literature.</p></abstract>

In this paper, we present some fixed point results satisfying generalized contractive condition with new auxiliary function in complete metric spaces. More precisely, the structure of the paper is the following. In the first section, we present some useful notions and results. The main aim of second section is to establish some new fixed point results in complete metric spaces. Finally, in the third section, we show the validity and superiority of our main results by suitable example. Also, as an application of our main result, some interesting corollaries have been included, which make our concepts and results effective. Our main result generalizes some well known existing results in the literature.

Fixed point theorem for new type of auxiliary functions

Maharishi Markandeshwar, Deemed to be University

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Fixed point theorem for new type of auxiliary functions"}

In this paper, we present some fixed point results satisfying generalized contractive condition with new auxiliary function in complete metric spaces. More...

Fixed point theorem for new type of auxiliary functions

Publié en ligne: 16 juil. 2020

Pages: 97 - 111

Reçu: 17 nov. 2019

DOI: https://doi.org/10.2478/ausm-2020-0006

Mots clés
fixed point, auxiliary function, metric spaces

© 2020 Vishal Gupta et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Fixed point theorem for new type of auxiliary functions

Publié en ligne: 16 juil. 2020

Pages: 97 - 111

Reçu: 17 nov. 2019

DOI: https://doi.org/10.2478/ausm-2020-0006

Mots clésfixed point, auxiliary function, metric spaces

© 2020 Vishal Gupta et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mots clés
fixed point, auxiliary function, metric spaces