Some Fixed Point Theorems in G-fuzzy Normed Linear Spaces

2020 ◽  
pp. 87-101
Author(s):  
S. Chatterjee ◽  
T. Bag ◽  
S. K. Samanta
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Linear Spaces ◽  
Normed Linear Spaces

New Fixed Point Theorems via Contraction Mappings in Complete Intuitionistic Fuzzy Normed Linear Space

2018 ◽  
Vol 15 (01) ◽  
pp. 65-83
Author(s):  
Nabanita Konwar ◽  
Ayhan Esi ◽  
Pradip Debnath
Keyword(s):  
Fixed Point ◽  
Mathematical Models ◽  
Linear Space ◽  
Fixed Point Theorems ◽  
Normed Linear Space ◽  
Existence Of A Solution ◽  
Linear Spaces ◽  
Contraction Mappings ◽  
Normed Linear Spaces ◽  
Intuitionistic Fuzzy

Contraction mappings provide us with one of the major sources of fixed point theorems. In many mathematical models, the existence of a solution may often be described by the existence of a fixed point for a suitable map. Therefore, study of such mappings and fixed point results becomes well motivated in the setting of intuitionistic fuzzy normed linear spaces (IFNLSs) as well. In this paper, we define some new contraction mappings and establish fixed point theorems in a complete IFNLS. Our results unify and generalize several classical results existing in the literature.

scholarly journals Krasnosel’skii Type Hybrid Fixed Point Theorems and Their Applications to Fractional Integral Equations

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
H. M. Srivastava ◽  
Sachin V. Bedre ◽  
S. M. Khairnar ◽  
B. S. Desale
Keyword(s):  
Fixed Point ◽  
Integral Equations ◽  
Fractional Integral ◽  
Fixed Point Theorems ◽  
Existence Of Solutions ◽  
Lower Solution ◽  
Linear Spaces ◽  
Partially Ordered ◽  
Normed Linear Spaces ◽  
Monotonicity Conditions

Some hybrid fixed point theorems of Krasnosel’skii type, which involve product of two operators, are proved in partially ordered normed linear spaces. These hybrid fixed point theorems are then applied to fractional integral equations for proving the existence of solutions under certain monotonicity conditions blending with the existence of the upper or lower solution.

Fixed point theorems on fuzzy normed linear spaces

2006 ◽  
Vol 176 (19) ◽  
pp. 2910-2931 ◽  
Author(s):  
T. Bag ◽  
S.K. Samanta
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Linear Spaces ◽  
Normed Linear Spaces

Some fixed point theorems in fuzzy normed linear spaces

2007 ◽  
Vol 177 (16) ◽  
pp. 3271-3289 ◽  
Author(s):  
T. Bag ◽  
S.K. Samanta
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Linear Spaces ◽  
Normed Linear Spaces

The Contraction Principle for Multivalued Mappings on a Modular Metric Space with a Graph

2016 ◽  
Vol 59 (01) ◽  
pp. 3-12 ◽  
Author(s):  
Monther Rashed Alfuraidan
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Orlicz Spaces ◽  
Multivalued Mappings ◽  
Linear Spaces ◽  
Modular Metric Spaces ◽  
Modular Spaces

Abstract We study the existence of fixed points for contraction multivalued mappings in modular metric spaces endowed with a graph. The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces like Orlicz spaces, were recently introduced. This paper can be seen as a generalization of Nadler and Edelstein’s fixed point theorems to modular metric spaces endowed with a graph.

scholarly journals Contractibility of Fixed Point Sets of Mean-Type Mappings

2017 ◽  
Vol 2017 ◽  
pp. 1-7
Author(s):  
S. Iampiboonvatana ◽  
P. Chaoha
Keyword(s):  
Fixed Point ◽  
Convergence Theorem ◽  
Nonexpansive Mappings ◽  
Point Sets ◽  
Linear Spaces ◽  
Normed Linear Spaces ◽  
Convex Setting ◽  
Fixed Point Sets

We establish a convergence theorem and explore fixed point sets of certain continuous quasi-nonexpansive mean-type mappings in general normed linear spaces. We not only extend previous works by Matkowski to general normed linear spaces, but also obtain a new result on the structure of fixed point sets of quasi-nonexpansive mappings in a nonstrictly convex setting.

scholarly journals Coincidence and fixed points for compatible and relatively nonexpansive maps

1993 ◽  
Vol 16 (1) ◽  
pp. 95-100 ◽  
Author(s):  
Gerald Jungck
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Spaces ◽  
Linear Spaces ◽  
Normed Linear Spaces ◽  
Nonexpansive Maps ◽  
Relatively Nonexpansive ◽  
Compact Subsets

The concept of relatively nonexpansive maps is introduced. Fixed point and coincidence results for families of four self maps of metric spaces are obtained. Non-continuous compatible and relatively nonexpansive maps on star-shaped compact subsets of normed linear spaces are highlighted, and two theorems of Dotson are generalized.

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