G-Metric Space
Compatible Maps and Some Common Fixed Point Results in G-Metric Space
... In 1976, G.Jungck [1] proved a common fixed point theorem for commuting map- pings,which generalizes the Banach Contraction principle.Sesa [2] introduced a concept of weakly commuting mappings and proved some fixed point ...
12
Coupled Fixed Point Theorem on Partially Ordered G-metric Space
... a G-metric space. A mapping f : X → X is G-continuous at if and only if it is G-sequentially continuous at , that is, whenever ( ) is G-convergent to , the sequence (f ( )) is ...
12
Common fixed point theorem for two selfmaps of a G-metric space
... that g k u = u and g k v = v, this shows that u,v are common fixed points of f and g k ...and g k implies u = v. Corollary 3.4: Let p be a positive integer. If g is continuous selfmap ...
6
Fw-contractions in a complete G-metric space
... D-metric space as a generalization of the metric space and proved some results in this ...the G-metric space as a generalized form of the metric ...the ...
10
Fixed point theorem for set valued maps in G-metric space
... (G4) G(x, y , z) = G(x, z, y) = G(y, z, x) = · · · (symmetry in all three variables); • (G5) G(x, y , z) ≤ G(x, a, a) + G(a, y, z) for all x, y, z, a ∈ X, (rectangle ...function ...
9
FIXED POINT THEOREMS FOR F-EXPANDING MAPPINGS OF G-METRIC SPACE
... Dhage, BC: A fixed point theorem for multi-valued mappings in ordered Banach spaces with applications I. Yogesh Kumar : continuation methods for contractive and non expansive mapping (fu[r] ...
9
Fixed point theorems for set-valued quasi-contraction maps in a G-metric space
... D-metric space was introduced in 1992 by Dhage [2] as an attempt to generalize the existing metric space ...D-metric space, annulling the validity of the majority of results that ...
18
The class Φα of auxiliary functions and fixed point in G-metric space
... Several fixed point theorems in metric space setting have been proved through contraction type conditions involving different types of auxiliary functions... The notion of contractive mo[r] ...
17
Common Fixed Point Theorem for Six Selfmaps of a Complete G Metric Space
... In 1963, Gahler [1] [2] introduced 2-metric spaces and claimed them as gene- ralizations of metric spaces. But many researchers proved that there was no rela- tion between these two spaces. These ...
9
Common fixed point theorem for six selfmaps of a complete G-metric space
... Sessa [7] introduced the concept of weakly commuting mappings as a generalization of commuting maps. This was further generalized by G,Jungck [8,9] in 1986 as compatible mappings. In 1996 Jungck and Rhoades [10] ...
12
Fixed Point of Order 2 on G-Metric Space
... 2013 Authors retain the copyrights of their papers, and all open access articles are distributed under the terms of the Creative Commons Attribution License.. 173.c[r] ...
5
A Result on Fixed Point in Complete G-Metric Space
... Later, several authors established many fixed point results for self mappings in G-metric spaces under certain contractions. Then the following statements are equivalent[r] ...
8
Quadrupled fixed point in g-metric space with an application
... In 1992, B.C. Dhage introduced a new class of generalized metric space called D-metric spaces (see [7]). In a subsequent series of papers, Dhage attempted to develop topological structures in such ...
44
Some Fixed Point Theorem for Mapping on Complete G-Metric Spaces
... complete G- metric space, also we showed that if the G-metric space X, G is symmetric, then the existence and uniqueness of these fixed point results follow from ...
12
Existence of Fixed Point Results in G Metric Spaces
... generalized metric spaces see 9, which are called G-metric spaces as generalization of metric space X, d, to develop and introduce a new fixed point theory for various mappings in this ...
10
Vol 3, No 1 (2012)
... of G-metric space, Non-Archimedean metric space and Fuzzy metric space, we introduce the concept of non-Archimedean G-fuzzy metric space and obtain ...
8
Common fixed point results in function weighted metric spaces
... first metric fixed point results in the setting of complete normed ...modular metric space, symmetric space, semi-metric space, quasi-metric space, partial ...
9
Vol 5, No 3 (2014)
... 2-metric space akin to the metric space (X, ...generalized metric space called D-metric space [1, ...ordinary metric functions and presented several fixed ...
7
FIXED POINT RESULTS FROM SOFT METRIC SPACES AND SOFT QUASI METRIC SPACES TO SOFT G-METRIC SPACES
... e G, E) is symmetric), many fixed point e theorems on soft G-metric spaces are particular cases of existing fixed point theorems on soft metric ...quasi-metric space is defined ...
10
Vol 6, No 6 (2015)
... and g is said to be a compatible pair . Definition 2.16: Let ( , ) X G be an G -metric space and g , f be two selfmaps of X such that g X ( ) ⊆ f X ( ) ...
6