Best proximity point for Z-contraction and suzuki type Z-contraction mappings with an application to fractional calculus

17Citations
Citations of this article
5Readers
Mendeley users who have this article in their library.

Abstract

In this article, we introduced the best proximity point theorems for Z-contraction and Suzuki type Z-contraction in the setting of complete metric spaces. Also by the help of weak P-property and P-property, we proved existence and uniqueness of best proximity point. There is a simple example toshowthe validityofour results. Ourresults extended and unify many existing results in the literature. Moreover, an application to fractional order functional differential equation is discussed.

References Powered by Scopus

Extensions of two fixed point theorems of F. E. Browder

525Citations
N/AReaders
Get full text

A generalized banach contraction principle that characterizes metric completeness

478Citations
N/AReaders
Get full text

On fixed and periodic points under contractive mappings

474Citations
N/AReaders
Get full text

Cited by Powered by Scopus

Simulation functions: a survey of recent results

32Citations
N/AReaders
Get full text

Simulation functions and geraghty type results

15Citations
N/AReaders
Get full text

On non-linear contractions via extended C <inf>F</inf> -simulation functions

9Citations
N/AReaders
Get full text

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Cite

CITATION STYLE

APA

Komal, S., Kumam, P., & Gopal, D. (2016). Best proximity point for Z-contraction and suzuki type Z-contraction mappings with an application to fractional calculus. Applied General Topology, 17(2), 185–198. https://doi.org/10.4995/agt.2016.5660

Readers' Seniority

Tooltip

Professor / Associate Prof. 2

50%

PhD / Post grad / Masters / Doc 2

50%

Readers' Discipline

Tooltip

Mathematics 2

67%

Medicine and Dentistry 1

33%

Save time finding and organizing research with Mendeley

Sign up for free