Fixed point and approximate fixed point theorems approach by admissibility of nonlinear mappings

Name: Aphinat Ninsri

keyword: Partial a-y contractions

LCSH: Fixed point theory

; NS-convex contractions

LCSH: Mappings (Mathematics)

; Partial generalized convex contractions

; (a,b)-generalized convex contractions

; a-Partial weakly Zamfirescu mappings

; Cyclic contractions

; Homotopy invariance

Abstract: In this thesis, we will study about the benefits of admissible properties by two separate sections below. First, we are interested to apply to proved fixed point theorem for new mapping is called partial α-ψ contractive mappings in generalized metric space. We also give some examples to illustrate. Moreover, we apply our results to arbitrary binary relation and graph. Second, we are interested to apply to proved approximate fixed point theorem for new mappings such as NS-convex contraction, partial generalized convex contraction, (α,β)-generalized convex contraction, and α- partial weakly Zamfirescu mappings in metric space. We also give some examples to illustrate. Moreover, we apply our results to arbitrary binary relation and graph. As application, we give cyclic contractions results and homotopy results for new nonlinear mapping

Thammasat University. Thammasat University Library

Address: BANGKOK

Email: preserv@tu.ac.th

Name: Wutiphol Sintunavarat

Role: advisor

Created: 2014

Modified: 2021-12-16

Issued: 2021-12-16

วิทยานิพนธ์/Thesis

application/pdf

DOI: 10.14457/TU.the.2014.598

eng

DegreeName: Master of Science

Level: Master's Degree

Descipline: Mathematics

Grantor: Thammasat University

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