Compatible maps and invariant approximations

AbstractThe existence of invariant best approximations for compatible maps is proved. Our results unify, and generalize various known results to a more general class of noncommuting mappings

Coincidence and fixed points for compatible and relatively nonexpansive maps

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

Observations on a variant of compatibility

We consider a variation of the concept of compatible maps introduced by Hicks and Saliga [1], and obtain generalizations ofresults by Hicks and Saliga and others

Compatible mappings and common fixed points,

ABSTRACT. A generalization of the commuting mapping concept is introduced. Properties of this "weakened commutativity" are derived and used to obtain results which generalize a theorem by Park and Bae, a theorem by Hadzic, and others

Common Fixed Point Theorems for Weakly Compatible Pairs on Cone Metric Spaces

We prove several fixed point theorems on cone metric spaces in which the cone does not need to be normal. These theorems generalize the recent results of Huang and Zhang (2007), Abbas and Jungck (2008), and Vetro (2007). Furthermore as corollaries, we obtain recent results of Rezapour and Hamlborani (2008)

Compatible mappings and common fixed points “revisited”

A fixed point theorem involving a Meir-Keeler type contraction principle is refined by diminishing continuity requirements

Fixed points via a generalized local commutativity

Let g:X→X. The concept of a semigroup of maps which is nearly commutative at g is introduced. We thereby obtain new fixed point theorems for functions with bounded orbit(s) which generalize a recent theorem by Huang and Hong, and results by Jachymski, Jungck, Ohta, and Nikaido, Rhoades and Watson, and others

Relation-theoretic metrical coincidence and common fixed point theorems under nonlinear contractions

[EN] In this paper, we prove coincidence and common fixed points results under nonlinear contractions on a metric space equipped with an arbitrary binary relation. Our results extend, generalize, modify and unify several known results especially those are contained in Berzig [J. Fixed Point Theory Appl. 12, 221-238 (2012))] and Alam and Imdad [To appear in Filomat (arXiv:1603.09159 (2016))]. Interestingly, a corollary to one of our main results under symmetric closure of a binary relation remains a sharpened version of a theorem due to Berzig. Finally, we use examples to highlight the accomplished improvements in the results of this paper.Ahmadullah, M.; Imdad, M.; Arif, M. (2018). Relation-theoretic metrical coincidence and common fixed point theorems under nonlinear contractions. Applied General Topology. 19(1):65-84. doi:10.4995/agt.2018.7677SWORD658419

(Un)gendered sentiments: The relationship between modernism and gender in the works of Barnfield and Woolf

By examining the history of literature through the lens of a gender critic, a person is able to discern how society and history frame our understanding of certain concepts. In this study, I have examined the lives and works of Richard Barnfield, a famed poet from the English Renaissance, and Virginia Woolf, a noted twentieth-century British novelist. The analysis of various aspects of Barnfield\u27s and Woolf\u27s creations reveals a connection between gendered language and modernity