Some Fixed Point Theorems and Application to Biological Model

Generalized form of fixed point theorems in Banach algebras under weak topology with an application

“…is invertible. In order to achieve the proof, we will apply Theorem 2.5 in [9]. Hence, we only have to prove that the map which assigns to each x ∈ S the value…”

New Types of F-Contraction for Multivalued Mappings and Related Fixed Point Results in Abstract Spaces

“…A point V is said to be a fixed point of a multivalued/selfmapping , if V ∈ V/V = V. Fixed point theory has a large number of applications, for example, [1][2][3][4]. Czewick [5] initiated the study of fixed point in b-metric spaces.…”

“…For ∈ ([0, 1], R + ), define supremum norm as ‖ ‖ = sup ∈[0,1] { ( ) − }, where > 0 is taken arbitrarily. Then define( , V) = [ sup ∈[0,1] {( ( ) + 2V ( )) − }] 1], R + ), and with these settings, ( ([0, 1], R + ), ) becomes a dislocated -quasi-metric space. Now we prove the following theorem to ensure the existence of solution of integral equations.…”

Fixed points of automorphisms of certain finite groups

“…In [2] David A. Smith discussed the fixed points of automorphisms group of a semi-simple Lie algebra. Several authors deliberate different properties of automorphism groups, see for further [3,7,8,10,11]. In [4], Christoper J. Hillar and Darren L. Rhea found the automorphism group of finite abelian groups.…”