Coupled Fixed Point for (α, Ψ)-Contractive in Partially Ordered Metric Spaces Using Compatible Mappings - Applied Mathematics

AM > Vol.6 No.8, July 2015

Applied Mathematics

Volume 6, Issue 8 (July 2015)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.96 Citations

Coupled Fixed Point for (α, Ψ)-Contractive in Partially Ordered Metric Spaces Using Compatible Mappings ()

HTML XML

Download as PDF (Size: 365KB) PP. 1380-1388

DOI: 10.4236/am.2015.68130 3,593 Downloads 4,913 Views Citations

Author(s)

Preeti, Sanjay Kumar

Affiliation(s)

Department of Mathematics, DCRUST, Sonepat, India.

ABSTRACT

In this paper, first we introduce notions of (α, Ψ)-contractive and (α)-admissible for a pair of map and prove a coupled coincidence point theorem for compatible mappings using these notions. Our work extends and generalizes the results of Mursaleen et al. [1]. At the end, we will provide an example in support of our result.

KEYWORDS

Coupled Coincidence Point, α-ψ-Contractive Mapping, Compatible Mappings

Share and Cite:

Preeti, &. and Kumar, S. (2015) Coupled Fixed Point for (α, Ψ)-Contractive in Partially Ordered Metric Spaces Using Compatible Mappings. Applied Mathematics, 6, 1380-1388. doi: 10.4236/am.2015.68130.

Cited by

[1]	Towards coupled coincidence theorems of generalized admissible types of mappings on partial satisfactory cone metric spaces and some applications
	Ghaffar… - AIMS Math, 2023

[2]	Coupled Coincidence Point Theorems for (α-µ-ψ-HF)-Two Sided-Contractive Type Mappings in Partially Ordered Metric Spaces Using Compatible Mappings
	2017

[3]	Coupled Coincidence Point Theorems for (α-μ -ψ -H-𝓕)-Two Sided-Contractive Type Mappings in Partially Ordered Metric Spaces Using Compatible Mappings
	2017

[4]	Coupled coincidence point theorems for (α-μ-ψ-HF)-two sided-contractive type mappings in partially ordered metric spaces using compatible mappings
	Đekić, T Došenović… - Filomat, 2017