the purpose of this paper is to obtain necessary and suffcient conditionsfor existence approximate fi xed point on geraghty-contraction. in this paper,de nitions of approximate -pair fi xed point for two maps tα , sα and theirdiameters are given in a metric space.

in this paper, we prove the existence of the solution for boundary value prob-lem(bvp) of fractional dierential equations of order q 2 (2; 3]. the kras-noselskii's xed point theorem is applied to establish the results. in addition,we give an detailed example to demonstrate the main result.

in this paper, we prove some common fi xed point results for two self mappingsf and g on s-metric space such that f is a g.w.c.m with respect to g.

in this paper, we prove the existence of fi xed point for j-type multi-valuedmap t in cat(0) spaces and also we prove the strong convergence theoremsfor ishikawa iteration scheme without using the xed point of involving map.

in this paper we formulate and prove some xed and common xed pointtheorems for self-mappings de ned on complete lower transversal functionalprobabilistic spaces.

"This paper deals with some existence results for a class of implicit fractional q-difference equations. The are based on the fi xed point theory in Banach spaces and concept measure noncompactness. An illustrative example is given last section."

we consider the concept of ω-distance on a complete partially ordered g-metric space and prove some common fi xed point theorems.